Numerical and Applied Analysis and Applications


    A PDF file of the paper is available for some reports, long versions of papers, and conference papers. If the file includes corrections to errata in the original preprint or conference paper this is indicated by [Update]. Early work in operator theory and linear algebra is not in this list. and appears on separate pages.

    For some of the papers in Springer Journals a free pdf version of the paper can be viewed. I have added the link called "Springer Link" for those pages.

    This material is based upon research supported by AFOSR, NAVSEA, and ARO and the National Science Foundation under NSF Grant Nos: DMS-8318026, DMS-9003401, DMS-9122745, INT-9220802, ECS-9500589, DMS-9423705, INT-9605114, DMS-9714811, DMS-9802259, DMS-0101802, ECS-0114095, DMS-020695, DMS-0404842, ECS-0620986, DMS-0907832, and DMS-1209251

  1. Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM J. Appl. Math., 31 (1976), 411-425, (with C.D. Meyer and N.J. Rose).

  2. Optimal control of autonomous linear processes with singular matrices in the quadratic cost functional, SIAM J. Control & Optimization, 14 (1976), 1092-1106.

  3. Optimal control of autonomous linear processes with singular matrices in the quadratic cost functional II, Proc. 1976 IEEE Conference on Decision and Control, 209-213.

  4. Linear systems of differential equations with singular coefficients, SIAM J. Math. Anal., 8 (1977), 1057-1066.

  5. Optimal control of discrete linear processes with quadratic cost, International J. Systems Science, 9 (1978), 841-847.

  6. Singular perturbation of autonomous linear systems II, J. Differential Equations, 29 (1978), 362-373.

  7. Limit behavior of solutions of singular difference equations, Linear Alg. & Its Appl. 23, (1979), 167-178.

  8. Singular perturbation of autonomous linear systems, SIAM J. Math. Anal., 10 (1979), 542-551, (with N.J. Rose).

  9. Singular perturbation of autonomous linear systems III, Houston J. Math., 44 (1978), 527-539, (with N.J. Rose).

  10. On a singularly perturbed autonomous linear control problem, IEEE Trans. Aut. Control, AC-24, (1979), 115-117.

  11. A functional analytic approach to autonomous linear singular perturbation problems, Proc. Seventeenth Annual Allerton Conference on Communication, Control, and Computing, 1979, 445-463.

  12. Nonregular singular dynamic Leontief systems, Econometrica, 47 (1979), 1565-1568.

  13. Singular linear systems of differential equations with delays, Applicable Analysis, II (1980), 129-136.

  14. A more singular singularly perturbed linear system, IEEE Trans. Automatic Control, AC-26 (1981), 507-510.

  15. A nonlinear system with singular vector field near equilibria, Applicable Analysis, 12 (1981), 57-71. (with J.W. Silverstein)

  16. On an assumption guaranteeing boundary layer convergence of singularly perturbed systems, Automatica, 17 (1981), 645-646.

  17. Numerical procedures for analyzing nonlinear semi-state equations, Proc. 1981 International Symposium on Mathematical Theory of Networks and Systems, (1981), 22-27.

  18. A procedure for analyzing a class of nonlinear semi-state equations that arise in circuit and control problems, IEEE Trans. Circuits and Systems, CAS-28, (1981), 256-261.

  19. Order and the index of singular time invariant linear systems, Systems and Control Letters, 1 (1981), 119-122. (with K. Clark)

  20. A singular second order linear system arising in electric power systems analysis, Int. J. Systems Sci., 13 (1981), 101-108. (with N.J. Rose)

  21. On positive controllers and linear-quadratic optimal control problems, Int. J. Control, 36 (1982), 885-888.

  22. Consistent initial conditions for singular nonlinear systems, Circuits Systems & Signal Processing, 2 (1983), 45-55.

  23. Index two linear time-varying singular systems of differential equations, SIAM J. Alg. and Disc. Methods, 4 (1983), 237-243.

  24. One canonical form for higher-index linear time-varying singular systems, Circuits Systems & Signal Processing 2 (1983), 311-326.

  25. Canonical forms and solvable singular systems of differential equations, SIAM J. Algebraic & Discrete Methods 4 (1983), 517-521. (with L. Petzold)

  26. Multiparameter singular systems: nondissective approaches, Proc. 22 IEEE Conference on Decision and Control, (1983), 1278-1281.

  27. The Drazin inverse and systems of second order linear differential equations, Linear & Multilinear Alg., 14 (1983), 195-198.

  28. Internal stability of two dimensional systems, Linear & Multilinear Algebra 14 (1984), 365-370. (with G. Barker)

  29. Regularizations of linear time varying singular systems, Automatica 28 (1984), 365-370.

  30. Nonlinear singular systems and contraction mappings, Proc. 1984 American Control Conference, 1513-1519. (with J. Rodriguez)

  31. Non-BDF methods for the solution of time varying implicit differential equations, Proc. 1984 American Control Conference, 1315-1318.

  32. The numerical solution of differential algebraic equation systems, All About Simulators, 1984, Edited by the V. Amico and A. Clymer, Society for Computer Simulation, Vol. 14, No. 1, 7-12.

  33. Explicit methods for solving singular differential equation systems, Proc. 27th Midwest Symposium on Circuits and Systems, 1984, 696-699.

  34. Nonlinear time-varying generalized state-space systems: an overview, Proc. 23d IEEE Conference on Decision and Control, 1984, 268-273.

  35. On using orthogonal functions with singular systems, IEE Proc. D., Control Theory & Appl., 131 (1984), 37-38.

  36. Bounded solutions of discrete singular systems on infinite time intervals, IEEE Trans. Automatic Control AC-30, (1985), 165-168. (with J. Rodriguez)

  37. The numerical solution of higher index linear time varying singular systems of differential equations, SIAM J. Sci. & ; Stat. Comp. 6 (1985), 334-348.

  38. Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations, in Linear Algebra and Its Role in Systems Theory, AMS Cont. Math Series, Vol. 47, 1985, 51-64.

  39. Countability of Sets, The American Mathematical Monthly, 93 (1986), 480-481.

  40. Index two linear time varying singular systems of differential equations II, Circuits Systems & Signal Processing, 5 (1986), 97-108.

  41. Consistent initial conditions for linear time varying singular systems, in Frequency Domain and State Space Methods for Linear Systems, North Holland, 1986, 313-318.

  42. A general form for solvable linear time varying singular systems of differential equations, SIAM J. Math. Anal., 18 (1987), 1101-1115.

  43. Operator methods and singular control problems in Operator Methods for Optimal Control Problems, Marcel Dekker, 1987, 57-66.

  44. Comment on controlling generalized state-space (descriptor) systems, Int. J. Control, 46 (1987), 2229-2230.

  45. Local realizations of time varying descriptor systems, Proc 26th IEEE Conf. on Decision and Control, (1987), 1129-1130.

  46. Derivative arrays, geometric control theory, and realizations of linear descriptor systems, Proc. 1987 Intern. Symp. on Singular Systems, Atlanta, 10-13. (with W. J. Terrell)

  47. Control problem structure and the numerical solution of Linear Singular systems, Math. Control Signals Systems, 1 (1988), 73-87. Springer LinkFONT>

  48. Bilinear nonlinear descriptor control systems in Linear Algebra in Signals, Systems, and Control, edited by B. N. Datta et al, SIAM, (1988), 439-511.

  49. Singular control problem structure and the convergence of backward differentiation formulas, in Linear Circuits, Systems, and Signal Processing, edited by C. I. Brynes, C. F. Martin, and R. E. Saeks, North Holland, (1988), 19-26. (with K. D. Clark).

  50. A general method for nonlinear descriptor systems: an example from robotic path control, Proc. 27th IEEE Conference on Decision & Control, (1988), 630-631.

  51. The Numerical Solution of Singular Systems arising in Control Problems, Proc. Amer. Control. Conf., (1989), 2129-2133.

  52. A computational method for general higher index nonlinear singular systems of differential equations, IMACS Transactions on Scientific Computing, (1989), Vol. 1.2, 555-560.

  53. Comments on functional reproducibility of time-varying input-output systems, IEEE Trans. Aut. Control, 34 (1989), 922-924.

  54. Distributional convergence of BDF approximations to singular systems, Circuits Systems & Signal Processing, 8 (1989), 261-265.

  55. Solving singular systems with orthogonal functions, (with K. D. Yeomans), Proc. IEE, 137 (1990), 222-224.

  56. Convergence of BDF approximations for nonsolvable differential algebraic equations, (with K. D. Clark), Appl. Numer. Math., 6 (1989/1990), 153-158.

  57. Descriptor systems in the 90's, Proc. 29th IEEE Conf. Decision & Control, (1990), 442-447.

  58. Comments on 2-D descriptor systems, Automatica, 27 (1991), 189-192.

  59. Differentiation of Constraints in Differential Algebraic Equations (with B. Leimkuhler), J. Mech. Struct. & Machines, 19 (1991), 19-40.

  60. Observability of Linear Time Varying Descriptor Systems, (with W. J. Terrell), SIAM J. Matrix Analysis, 12 (1991), 484-496.

  61. Duality, observability, and controllability for linear time varying descriptor systems, (with N. K. Nichols, and W. J. Terrell), Circuits, Systems, Signal Process, 10 (1991), 455-470.

  62. 2-D (differential-delay) implicit systems, Proc. IMACS World Congress on Scientific Computation, Dublin, 1991, 1828-1829.

  63. Least squares completions for nonlinear index three Hessenberg DAEs, Proc. IMACS World Congress on Scientific Computation, Dublin, 1991, 1145-1148.

  64. Uniqueness of completions for linear time varying differential algebraic equations, Linear Alg. & Its Appl., 161 (1992), 55-67.

  65. A survey of time varying and nonlinear descriptor control systems, Proc. Symp. Implicit & Nonlinear Systems, Dallas, (1992), 356-363.

  66. Least squares completions for nonlinear differential algebraic equations, Numer. Math., 65 (1993), 77-94. Springer Link

  67. Progress on a General Numerical Method for Nonlinear Higher Index DAEs II, (with E. Moore), Circuits, Systems, Signal Processing, 13 (1994), 123-138.

  68. Explicit formulae for completions of linear time varying DAEs, (with M. Rakowski), Circuits, Systems, Signal Processing, 13 (1994). 185-199.

  69. Utilization of automatic differentiation in control algorithms, (with E. Moore and Y. Zhong), IEEE Trans. Automatic Control, 39 (1994), 1047-1052.

  70. Numerical Methods for Unstructured Higher Index DAEs, Annals of Numerical Mathematics, 1 (1994), 265-278.

  71. DAE Approximations of PDE Modeled Control Problems, Proc. IEEE Mediterranean Symposium on New Directions in Control and Automation, Crete, 1994, 407-414.

  72. Numerically Generated Path Stabilizing Controllers I: Theoretical Concerns, (with Dirk von Wissel and Ramine Nikoukhah), Proc. 94 American Control Conference, Baltimore, 1994, 1918-1920.

  73. A Coordinate Free Approach for Constraint Preserving Higher Index DAE Integrators, (with E. Moore), Proc. 94 IMACS World Congress on Scientific Computation, 65-68.

  74. On a New Predictive Control Strategy: An application to a flexible-joint robot, (with Dirk von Wissel and Ramine Nikoukhah), Proc. 1994 CDC, 3025-3026.

  75. Computational speedup for general nonlinear higher index DAE integrators (with Y. Zhong), Proc. 1994 IMACS World Congress on Scientific Computation, 69-73.

  76. Nonregular 2D descriptor delay systems, IMA Journal Math. Cont. & Information; Appl., 12 (1995), 57-67.

  77. Solvability of general differential algebraic equations, (with E. Griepentrog) SIAM J. Sci. Comp., 16 (1995), 257-270.

  78. High index differential algebraic equations, J. Mech. Struct. & Machines, 23 (1995), 199-222.

  79. The index of general nonlinear DAEs (with C. W. Gear), Numerische Mathematik, 72 (1995), 173-196. Springer Link

  80. Constraint preserving integrators for general nonlinear higher index daes, (with E. Moore), Numerische Mathematik, 69 (1995), 383-399. Springer Link

  81. Linearization of DAEs along trajectories, Z. angew Math. Phys. (ZAMP), 46 (1995), 70-84.

  82. Numerically Generated Path Stabilizing Controllers: Use of Preliminary Feedback, (with Dirk von Wissel, Ramine Nikoukhah, and Francois Delebecque), Kybernetika, 6 (1995), 657-668.

  83. Maneuver planning and robust path tracking for mobile robotic nonholonomic systems, (with S. Q. Zhu, F. L. Lewis, and K. Ito), Proc. 1995 ECC, Rome, 3080-3085.

  84. The geometry of square invertible linear systems, matrix pencils, and predictive control, (with F. Delebecque, R. Nikoukhah, and D. von Wissel), Proc. 1995 ECC, Rome, 2962-2967.

  85. Determining flatness for complex nonlinear systems, (with W. J. Terrell), IEEE Southeastcon '95, Raleigh, NC, 118-122.

  86. Convergence Estimates for Solution of Integral Equations with GMRES (with I. C. F. Ipsen, C. T. Kelley, C. D. Meyer and Z. Q. Xue), J. Integral Eqns & Appl., 8 (1996), 19-34.

  87. GMRES and the minimal polynomial, (with I. C. F. Ipsen, C. T. Kelley, and C. D. Meyer), BIT, 36 (1996), 32-43.

  88. ODE/DAE Integrators and MOL Problems, (with W. Marszalek), Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), (1996), 251-254.

  89. Constraint Preserving Integrators for Unstructured Higher Index DAEs, (with E. Moore and Y. Zhong), Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), (1996), 83-86.

  90. Automatic differentiation and implicit differential equations, (with R. Hollenbeck), in Computational Differentiation: Techniques, Applications, and Tools, Edited by M. Berz, C. Bischof, G. Corliss, and A. Griewank, SIAM, Philadelphia, 1996, 215-227.

  91. Nonlinear observer design using implicit system descriptions, (with D. von Wissel, R. Nikoukhah, and F. Delebecque), Proc. Computational Engineering in Systems Applications, Lille, France,1996, 404-409. [Update]

  92. Consistent initial conditions for unstructured higher index DAEs: A computational study, (with C. T. Kelley and K. D. Yeomans), Proc. Computational Engineering in Systems Applications, Lille, France,1996, 416-421.

  93. Descriptor predictive control: tracking controllers for a riderless bicycle, (with D. von Wissel, R. Nikoukhah, and F. Delebecque), Proc. Computational Engineering in Systems Applications, Lille, France,1996, 292-297.

  94. Pencil algorithms and observer design, (with F. Delebecque and R. Nikoukhah), Proc. IEEE Symposium on Computer-Aided Control System Design (CACSD), Dearborn, Michigan, 1996, 83-88.

  95. A mixed symbolic-numeric software environment, (with F. Delebecque and D. von Wissel), Proc. IEEE Symposium on Computer-Aided Control System Design (CACSD), Dearborn, Michigan, 1996, 436-441.

  96. The effects of computational delay in descriptor based trajectory tracking control, (with D. von Wissel, R. Nikoukhah, and F. Delebecque), Int. J. Control, 67 (1997), 251-273.

  97. Jacobian reuse in explicit integrators for higher index DAEs, (with Y. Zhong), Appl. Num. Math., 25 (1997), 391-412.

  98. DAEs arising from traveling wave solutions of PDEs, (with Wieslaw Marszalek), J. Comp. Appl. Math., 82 (1997), 41-58.

  99. Observer design for linear time varying descriptor systems, (with F. Delebecque and R. Nikoukhah), Proc. Control Industrial Systems (CIS97), Vol. 1, (1997), 507-512.

  100. Mixed symbolic-numerical computations with general DAEs, (with R. Hollenbeck and W. Marszalek), Proc Symposium on Differential-Algebraic Equations: Algebraic and Numerical Aspects, Grenoble, France, May 26-28, 1997, pp. 23-34.

  101. Mixed symbolic-numerical computations with general DAEs I: System properties, (with R. Hollenbeck, K. Yeomans, and Y. Zhong), Numerical Algorithms, 19 (1998), 73-83.

  102. Mixed symbolic-numerical computations with general DAEs II: An applications case study, (with W. Marszalek), Numerical Algorithms, 19 (1998), 85-94.

  103. Behavior of the nonunique terms in general DAE integrators, (with Kevin Yeomans), Applied Numerical Mathematics, 28 (1998), 209-226.

  104. The interaction between simulation and modeling in infinite dimensional systems, (with W. Marszalek), in Theory and Practice of Control and Systems, edited by A. Tornambe, G. Conte, A. M. Perdon, World Scientific, 1998, 322-327.

  105. Observer design for general linear time-invariant systems, (with R. Nikoukhah and F. Delebecque), Automatica, 34 (1998), 575-583.

  106. Intelligent DAE solvers and user friendly design, simulation, and analysis packages, Proc. IEEE International Conf. Systems, Man, and Cybernetics, San Diego, Oct., 1998, 177-3182.

  107. Observer design for linear time varying descriptor systems: numerical algorithms, (with N. Biehn, F. Delebecque, and R. Nikoukhah), Proc. IEEE Conf. Decision Control, (1998), 3801-3806.

  108. The index of an infinite dimensional implicit system, (with Wieslaw Marszalek), Mathematical and Computer Modelling of Dynamical Systems, 5 (1999), 18-42.

  109. Kalman filtering for general discrete-time linear systems, (with R. Nikoukhah, F. Delebecque), IEEE Trans. Automatic Control, 44 (1999), 1829-1839.

  110. DAEs arising from traveling wave solutions of PDEs II, (with Wieslaw Marszalek), Computers Mathematics Applications, 37 (1999), no. 1, 15-34.

  111. R. Nikoukhah, S. L. Campbell, and F. Delebecque, Detection Signal Design for Failure Detection, Proc. Iranian Conf. on Electrical Engineering, 1999, 45-52.

  112. S. Campbell, R. Nikoukhah, and F. Delebecque, Nonlinear descriptor systems, Advances in Control, Springer Verlag, 1999, 247-282.

  113. John T. Betts, William P. Huffman, Neil Biehn, Stephen L. Campbell, Exploiting order variation in mesh refinement for direct transcription methods, Boeing Technical Report, M\&CT-TECH-99-02, 1999.

  114. R. Nikoukhah, S. Campbell, and F. Delebecque Detection signal design for failure detection: a robust approach, Int. J . Adpative control and Signal Processing, 14 (2000), 701-724.

  115. S. Campbell, N. Biehn, L. Jay, and T. Westbrook, Some comments on DAE theory for IRK methods and trajectory optimization, J. Comp. Appl. Math, 120 (2000), 109-131.

  116. R. Nikoukhah, F. Delebecque, S. L. Campbell, and K. Horton, Multi-model identification and the separability index, Proc. Mathematical Theory of Networks and Systems 2000, (CD ROM).

  117. N. Biehn, J. Betts, S. Campbell, and W. Huffman, Compensating for order variation in mesh refinement for direct transcription methods, J. Comp. Appl. Math, 125 (2000), 147-158.

  118. Y. Zou and S. L. Campbell, The jump behavior and stability analysis for 2-D descriptor systems, Multidimensional Systems and Signal Processing, 11 (2000), 319-336.

  119. J. T. Betts, N. Biehn, S. L. Campbell, and W. P. Huffman, Computational experience with exploiting order variation in mesh refinement for direct transcription methods, Proc. IMACS 2000, Lausanne. (CD ROM). (PDF)

  120. J. T. Betts, N. Biehn, S. L. Campbell, and W. P. Huffman, Convergence of nonconvergent IRK discretizations of optimal control problems, Proc. IMACS 2000, Lausanne. (CD ROM). (PDF)

  121. Ricardo Riaza, Stephen L. Campbell, and Wieslaw Marszalek, On singular equilibria of index-1 DAEs, Circuits Systems Signal Processing, 19 (2000), 131-157.

  122. S. L. Campbell, K. Horton, R. Nikoukhah and F. Delebecque, Raplid model selection and the separability index Proc. SAFEPROCESS 2000, Budapest, Hungary, 1187-1192.

  123. R. Nikoukhah, S. L. Campbell, and F. Delebecque, On a general descriptor LQ problem, Proc. IEEE Med. Conf. Control and Automation, 2000. (CD ROM) (PDF)

  124. J. T. Betts, W. P. Huffman, N. Biehn, and S. L. Campbell, Mesh Refinement That Exploits Order Variation, Proc. of the Workshop: Optimalsteuerungsprobleme in der Luft- und Raumfahrt, Universitat Greifswald, 7/8 Oktober 1999, Sonderforschungsbereich 255. Published by Hieronymus, Munchen, 2000, 1-12.

  125. N. Biehn, S.L. Campbell, R. Nikoukhah, and F. Delebecque, Numerically constructible observers for linear time varying descriptor systems, Automatica, 37 (2001), 445-452.

  126. R. Nikoukhah, S. L. Campbell, and F. Delebecque, Auxiliary signal design for failure detection in uncertain systems, Proc. IEEE Med. Conf. Control and Automation, 2001. (CD ROM). (PDF)

  127. S. L. Campbell, K. Drake, R. Nikoukhah, and F. Delebecque, Rapid multimodel identification in systems with delays, 3d IFAC Workshop on TIme Delay Systems, TDS 2001, 296-301.

  128. S. L. Campbell, Numerical analysis and systems theory, Int. J. Applied Mathematics and Computer Science, 11 (2001), 1025-1033.

  129. R. Nikoukhah, S. L. Campbell, K. Horton, and F. Delebecque, Auxiliary signal design for robust multi-model identification, IEEE Tran. Aut. Cont.,47 (2002) 158-163.

  130. J. Betts, N. Biehn, and S. L. Campbell, Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints, SIAM J. Sci. Comp., 23 (2002), 1981-2007.

  131. John Betts, Neil Biehn, Stephen Campbell, and William Huffman, Compensating for order variation in mesh refinement for direct transcription methods II: computational experience, J. Comp. Appl. Math., 143 (2002), 237-261.

  132. S. L. Campbell, K. Horton, R. Nikoukhah, and F. Delebecque, Optimaization formulations of auxiliary signal design for rapid multi-model identification, Automatica, 38 (2002), 1313-1325.

  133. S. L. Campbell, K. Drake, and R. Nikoukhah, Early decision making when using proper auxiliary signals, Proc. IEEE Conf. Decision Control, 1832-1837, 2002.

  134. S. L. Campbell, K. Drake, and R. Nikoukhah, Auxiliary signal design for multi-model identification in systems with multiple delays, Proc. IEEE Med. Conf. Control and Automation, 2002. (PDF)

  135. R. Nikoukhah and S. L. Campbell, Active failure detection: Auxiliary signal design and on-line detection, Proc. IEEE Med. Conf. Control and Automation, 2002. (PDF)

  136. S. L. Campbell and R. Nikoukhah, The design of auxiliary signals for robust active failure detection in uncertain systems, Proc. MTNS 2002.

  137. R. Nikoukhah and S. L. Campbell, Auxiliary signal design for robust active failure detection: the general cost case, Proc. Safeprocess 2003, 259-264.

  138. S. L. Campbell and R. Nikoukhah, Auxiliary Signal Design for Failure Detection in Uncertain Sampled-Data Systems, Proc. ECC03, Cambridge, UK, 2003.

  139. J. T. Betts, S. L. Campbell, and N. N. Kalla, Initialization of Direct Transcription Optimal Control Software, Proc. IEEE Conf. Decision Control, Maui, 2003, 3802-3807.

  140. S. L. Campbell, K. Drake, and R. Nikoukhah, Analysis of Spline Based Auxiliary Signal Design for Failure Detection in Delay Systems, Proc. IEEE Conf. Systems Man. Cybernetics, 2003.

  141. J. T. Betts and S. L. Campbell, Discretize then Optimize, First version appeared as Technical Document Series, M\&CT-TECH-03-01, Mathematics and Computing Technology, Phantom Works, Boeing, Seattle, 2003. A modified later version appears in Mathematics in Industry: Challenges and Frontiers A Process View: Practice and Theory (PR121) by Ferguson and Peters, SIAM Publications, Philadelphia.

  142. S. L. Campbell and R. Nikoukhah, Software for auxiliary signal design, Proc. 2004 American Control Conf., Boston, 4414-4419.

  143. C. Arevalo, S. L. Campbell, and M. Selva, Unitary Partitioning in General Constraint Preserving DAE Integrators, Mathematical and Computer Modelling, 40 (2004), 1273-1284.

  144. S. L. Campbell, Monica Selva Soto, and Carmen Ar\'{e}valo, A numerical integrator for simulation of unstructured implicit models, Proc. 2004 American Control Conf., Boston, 5647-5652.

  145. J. T. Betts, S. L Campbell, and Anna Engelsone, Direct transcription solution of inequality constrained optimal control problems, Proc. 2004 American Control Conf., Boston, 1622-1626.

  146. M. Najafi, R. Nikoukhah, and S. L. Campbell, Computation of consistent initial conditions for multi-mode DAEs: Application to Scicos, Proc. Computer Aided Control Design, Taipei, 2004.

  147. M. Najafi, R. Nikoukhah, and S. L. Campbell, ODE and DAE integrators in Scicos environment, Proc. Iasted International Conference on Applied Simulation and Modeling (ASM2004), Rhodes, Greece, June, 2004.

  148. R. Nikoukhah and S. L. Campbell, A multi-model approach to failure detection in uncertain sampled-data systems, European Journal of Control, 11 no.3, (2005), 255-266.

  149. K. Drake and S. L. Campbell, Design of a Detection Signal for Fault Detection and Model Identification on Systems with Multiple Delays, Proc. ASNE Day 2004, Crystal City, VA, June 28-29, 2004.

  150. D. Choe, S. L. Campbell, and R. Nikoukhah, Auxiliary Signal Design for Robust Failure Detection: A Case Study Proc. Fifth International Conference on Control and Automation (ICCA 2005), Budapest.

  151. A. Engelsone, S. L. Campbell, and J. T. Betts, Direct Transcription Solution of Higher-Index Optimal Control Problems, Proc IMACS World Congress on Scientific Computation, Paris, 2005.

  152. M. Najafi, R. Nikoukhah, and S. L. Campbell, The role of model formulation in DAE integration: Experience gained in developing Scicos, Proc IMACS World Congress on Scientifc Computation, Paris, 2005.

  153. A. Engelsone, S. L. Campbell, and J. T. Betts, Order of Convergence in the Direct Transcription Solution of Optimal Control Problems, Proc. IEEE Conf. Decision Control - European Control Conference, Seville, Spain, 2005.

  154. Kimberly J. Drake, Stephen L. Campbell, Ivan V. Andjelkovic, Benjamin L. Hannas and Kelly A. Sweetingham, Applications of Robust Failure Detection Algorithms to Power Systems, Proc. 13th Intelligent Systems Application to Power Systems (ISAP2005), Washington, DC.

  155. Dongkyoung Choe, Stephen L Campbell, Ramine Nikoukhah, A Comparison of Optimal and Suboptimal Auxiliary Signal Design Approaches for Robust Failure Detection, IEEE Conference on Control Applications, Toronto, 2005.

  156. R. Nikoukhah and S. L. Campbell, Robust detection of incipient faults: an active approach, Proc. IEEE Med. Conf. Control and Automation, 2006.

  157. S. L. Campbell, K. J. Drake, I. Andjelkovic, K. Sweetingham, and D. Choe, Model Based Failure Detection using Test Signals from Linearizations: A Case Study, Proc IEEE Int. Conf Control Applications, 2006.

  158. K. J. Drake, S. L. Campbell, I. Andjelkovic, and K. Sweetingham, Active Incipient Failure Detection: A Nonlinear Case Study, Proc 4th International Conference on Computing, Communications and Control Technologies: CCCT '06, Orlando, 2006.

  159. D. Choe, S. L. Campbell and R. Nikoukhah, Comparison between failure detection test signals for continuous systems and sampled-data systems, Proc. IEEE Conf. Decision and Control. 2006.

  160. Ramine Nikoukhah and Stephen L. Campbell, Auxiliary Signal Design for Active Failure Detection in Uncertain Linear Systems with A Priori Information, Automatica, 42 (2006), 219-228.

  161. A. Engelsone, S. L. Campbell, and J. T. Betts, Direct Transcription Solution of Higher-Index Optimal Control Problems and the Virtual Index, Appl. Numerical Mathematics, 57 No. 3 (2007), 281-196.

  162. J. T. Betts, S. L. Campbell, and A. Engelsone, Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice, Optimization and Engineering, 8 (2007), 1-19. Springer Link

  163. S. L. Campbell and R. Marz, Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations, J. Comp. Appl. Math., 202, No. 2 (2007), pp. 186--202 A substantial revision of the earlier report Characterization and computation of a "Good Control", Homepage of the institute Preprint 04-10 or Preprint No. 124 on the server of the DFG Research Center.

  164. I. Okay, S. L. Campbell, and Peter Kunkel, The Additional Dynamics of Least Squares Completions for Linear Differential Algebraic Equations, Linear Algebra and Its Applications, 425 (2007) 471Ð485.

  165. K. J. Drake, S. L. Campbell, I. Andjelkovic, and K. Sweetingham, Model based failure detection on nonlinear systems: theory and transition, Proc. ASNE Day 2007, Arlington, VA. June 25-26, 2007.

  166. S. L. Campbell, J. T. Betts, A. Engelsone, R. Nikoukhah, M. Najafi, Some software aspects of DAE simulation & optimization software, PAMM, 7 (Issue 1), (2007), 1023103-1023104. Published Online: Sep 18 2008 2:53AM DOI: 10.1002/pamm.200700495. (PAMM is published by GAMM)

  167. A. Engelsone and S. L. Campbell, Adjoint Estimation using Direct Transcription Multipliers: Compressed Trapezoidal Method, Optimization and Engineering, 9 (2008), 291-305. Springer Link

  168. R. Nikoukhah and S. L. Campbell, On the detection of small parameter variations in linear uncertain systems, European J. Control, 14 (2008), 158-171.

  169. I. Okay, S. L. Campbell, and Peter Kunkel, Completions of Implicitly Defined Vector fields and their applications, Proc. Int. Symposium on Mathematical Theory of Networks and Systems (MTNS 08), Blacksburg, VA, 2008.

  170. D. Choe, S. L. Campbell, and R. Nikoukhah, Optimal Piecewise-constant Signal Design for Active Fault Detection, International Journal of Control, 82(1) (2009), 130-146.

  171. Stephen L. Campbell, Vu Hong Linh, Linda R. Petzold, Differential-algebraic equations. Scholarpedia, 3(8):2849. 2008.

  172. I. Andjelkovic, K. A. Sweetingham, and S. L. Campbell, Active fault detection in nonlinear systems using auxiliary signals, Proc. American Control Conference, Seattle, 2008.

  173. S. L. Campbell and Vu Hoang Linh, Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions, Applied Mathematics and Computation, 208 (2009), 397-415.

  174. A. E. Ashari, R. Nikoukhah, and S. L. Campbell, Active robust fault detection of closed-loop systems: general cost case, Safeprocess 2009.

  175. M. Fair and S. L. Campbell, Active incipient fault detection with two simultaneous faults, Proc. Safeprocess 2009.

  176. A. E. Ashari, R. Nikoukhah and S. L. Campbell, Robust Multi-Model Fault Detection and Control using an Active Closed-Loop Approach, Proc. SYSID 2009, St. Malo, France.

  177. I. Okay, S. L. Campbell, and P. Kunkel, Completions of implicitly defined linear time varying vector fields, Linear Algebra & Its Applications, 431 (2009), 1422-1438.

  178. K. A. Sweetingham and S. L. Campbell, Auxiliary Signal Design for Fault Detection in Nonlinear Systems, Control and Intelligent Systems, 37 (2009), 152-159.

  179. Kimberly J. Drake, Kristen Bradshaw, Patrick Violante, and S. L. Campbell, Two applications of Modeling and Simulation in the Design and Development of Navy Systems, ASNE Intelligent Ships Symposium VIII (ISSVIII) Proceedings, Philadelphia, May 20-12, 2009.

  180. R. Nikoukhah, S. L. Campbell, and K. D. Drake, An active approach for detection of incipient faults, International Journal Systems Science, 41 (2010), 241-257.

  181. M. Fair and S. L. Campbell, Active incipient fault detection with more than two simultaneous fault, Proc. 2009 IEEE International Conference on Systems, Man, and Cybernetics, San Antonio, 2009.

  182. S. L. Campbell, and P. Kunkel, Completions of nonlinear DAE flows based on index reduction techniques and their stabilization, J. Comp. Appl. Math., 233 (2009), 1021--1034.

  183. A. E. Ashari, R. Nikoukhah and S. L. Campbell, Feedback in active fault detection, Proc. 2009 IEEE Conference Decision and Control, Shanghai, 2009.

  184. D. Valdez-Jasso, M. A. Haider, S. L. Campbell, D. Bia, Y. Zocalo, R. L. Armentano, and M. S. Olufsen. Modeling viscoelastic wall properties of ovine arteries, Proceedings of the ASME 2009 Summer Bioengeneeing Conference, June 17-21, Lake Tahoe, California, 2009.

  185. S. Campbell and R. Nikoukhah, Teaching Introductory Differential Equations with ScicosLab, CODEE Journal: Vol. 7, Article 2, 2010. Available at: http://scholarship.claremont.edu/codee/vol7/iss1/2 13 pages.

  186. S. L. Campbell, P. Kunkel, and K. Bobinyec, A minimal norm corrected underdetermined Gauss-Newton procedure, Applied Numerical Mathematics, 62 (2012), 592-605.

  187. A. E. Ashari, R. Nikoukhah, and S. L. Campbell, Active Robust Fault Detection in Closed-Loop Systems: Quadratic Optimization Approach, IEEE Trans. Aut. Control, 57 (2012), 592-605.

  188. A. E. Ashari, R. Nikoukhah, and S. L. Campbell, Effects of Feedback on Active Fault Detection, Automatica, 48 (2012), 866-872.

  189. A. E. Ashari, R. Nikoukhah, and S. L. Campbell, Auxiliary Signal Design for Robust Active Fault Detection of Linear Discrete-Time Systems, Automatica, 47 ( 2011), 1887-1895.

  190. K. Bobinyec, S. L. Campbell, and P. Kunkel, Full order observers for linear DAEs, Proc. IEEE Conf. Decision and Control, Orlando, 2011, 4011-4016.

  191. K. Bobinyec, S. L. Campbell, and P. Kunkel, Stabilized Completions of Differential Algebraic Equations and the Design of Observers, Proc. Neural, Parallel, and Scientific Computation, Atlanta, 2010.

  192. I. Andjelkovic and S. L. Campbell, Direct Optimization Determination of Auxiliary Test Signal for Linear Problems with Model Uncertainty, Proc. IEEE Conf. Decision and Control, Orlando, 2011, 909-914

  193. M. Fair and S. L. Campbell, Active incipient fault detection in continuous time systems with multiple simultaneous fault, Numerical Algebra, Control and Optimization, 1 (2011), 211-224.

  194. J.T. Betts, S. L. Campbell, and K. Thompson, Optimal control software for constrained nonlinear systems with delays, Proc. IEEE Mulit-Conference on Systems and Control (2011 MSC), Denver, 2011, 444-449.

  195. K. Bobinyec, S. L. Campbell, and P. Kunkel, Maximally reduced observers for linear time varying DAEs, Proc. IEEE Mulit-Conference on Systems and Control (2011 MSC), Denver, 2011, 1373-1378.

  196. J.T. Betts, S. L. Campbell, and K. Thompson, Optimal control of delay partial differential equations, in Control and Optimization with Differential-Algebraic Constraints, SIAM, 2012, 213-231.

  197. S. L. Campbell, Volker Mehrmann, and P. Kunkel, Regularization of linear and nonlinear descriptor systems, in Control and Optimization with Differential-Algebraic Constraints, SIAM, 2012, 17-36.

  198. L. Biegler, S. L. Campbell, and Volker Mehrmann, Control and Optimization with Differential-Algebraic Constraints, in Control and Optimization with Differential-Algebraic Constraints, SIAM, 2012, 1-16.

  199. J. T. Betts, S. L. Campbell, and Karmethia Thompson, Direct transcription solution of optimal control problems with delays, Numerical Analysis and Applied Mathematics ICNAAM2011 AIP Conf. Proc. 1389 (2011), 38-41.

  200. S. L. Campbell and P. Kunkel, On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations, J. Comp. Applied Math., 242 (2013), 213-231.

  201. K. Bobinyec, S. L. Campbell, and P. Kunkel, Constructing Observers for Linear Time Varying DAEs, Proc. IEEE Conference Decision and Control, 2012 CDC, Maui, 5749-5754.

  202. J. R. Scott and S. L. Campbell, Observer based fault detection in differential algebraic equations, Proc. SIAM Control Conference, San Diego, 2013, 176-183.

  203. J. T. Betts, S. L. Campbell, and K. Thompson, Simulation and Optimization of Systems with Delays, Society for Modeling and Simulation Series 2013 Proceedings, San Diego, 2013, 1084-1085.

  204. J. R. Scott and S. L. Campbell, Observer based fault detection and identification in differential algebraic equations, Proc. ASME 6th Annual Dynamic Systems and Control Conference, Stanford, 2013. pp. V002T24A001; 10 pages doi:10.1115/DSCC2013-3713.

  205. S. L. Campbell and L. E. Holte, Eigenvalue placement in completions of DAEs, Electronic Journal of Linear Algebra, 26, 520-534.

  206. S. L. Campbell and Karen Bobinyec, Linear Differential Algebraic Equations and Observers, Surveys in Differential-Algebraic Equations II, Differential-Algebraic Equations Forum, Springer, 2014, 1-67.

  207. J. T. Betts, S. L. Campbell, and K. Thompson, Direct transcription solution of optimal control problems with differential algebraic equations with delays, Proc. 14th IASTED International Symposium on Intelligent Systems and Control (ISC 2013), Marina del Rey, 2013, 166-173.

  208. J. R. Scott and S. L. Campbell, Auxiliary Signal Design for Failure Detection in Differential-Algebraic Equations, Numerical Algebra, Control and Optimization, 4 (2014), 151-179.

  209. J. R. Scott and S. L. Campbell, Auxiliary Signal Design for Failure Detection in High Index Differential-Algebraic Equations, IEEE Conference on Decision and Control (CDC14), Los Angelos, California, (2014), 6413-6418.

  210. J. R. Scott and S. L. Campbell, Asynchronous Auxiliary Signal Design for Failure Detection, IEEE International Conference on Systems, Man, and Cybernetics (SMC2014). San Diego, California, (2014), 2785-2790.

  211. J. T. Betts, S. L. Campbell, and K. Thompson, Lobatto IIIA Methods, Direct Transcription, and DAEs with Delays, Numerical Algorithms, 69 (2015), 291-300.
    Springer Link

  212. S. L. Campbell, The Flexibility of DAE Formulations, Surveys in Differential-Algebraic Equations III, Differential-Algebraic Equations Forum, 2015, 1-59.

  213. A. Zhang and S. L. Campbell, Robust finite-time filtering for singular discrete-time stochastic systems, Proc. 2015 CCDC (Chinese Conference Decision and Control), Qingdao, China.

  214. S. L. Campbell and J. R. Scott, Auxiliary signal design for failure detection with initial prior information, Proc. IEEE SoutheastCon 2016, Norfolk, VA. DOI: 10.1109/SECON.2016.7506738

  215. S. L. Campbell and H. Owen, Actuator effects on auxiliary signal design for failure detection, Proc. IEEE SoutheastCon 2016, Norfolk, VA. DOI: 10.1109/SECON.2016.7506748

  216. S. L. Campbell and J. T. Betts, Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches, Numerical Algorithms, 73 (2016), 807-838. Springer Link

  217. J.T. Betts, S. L. Campbell, and K. Thompson, Solving optimal control problems with control delays using direct transcription,, Applied Numerical Mathematics, 108 (2016), 185-203.

  218. S. L. Campbell and P. Kunkel, Solving higher index DAE optimal control problems, Numerical Algebra, Control, and Optimization, 6 (2017), 447-472.

  219. S. L. Campbell, Active Fault Detection in Nonlinear Differential Algebraic Equations I: General Systems, in Fault Detection: Methods, Applications and Technology, edited by Daniel Martin, Nova Publishers, Hauppauge, NY, 2016, Chapter 1, 1-27. ISBN: 978-1-53610-359-5.

  220. S. L. Campbell and J. R. Scott, Active Fault Detection in Nonlinear Differential Algebraic Equations II: Using Linearizations, in Fault Detection: Methods, Applications and Technology, edited by Daniel Martin, Nova Publishers, Hauppauge, NY, 2016, Chapter 2, 29-51. ISBN: 978-1-53610-359-5.

  221. S. L. Campbell, Comment on solution of differential-algebraic equations through gradient flow embedding, Computers. Chem. Eng, 106 (2017), 529--531.

  222. S. L. Campbell and P. Kunkel, General Nonlinear Differential Algebraic Equations and Tracking Problems, DAE Forum, to appear, 2019.

  223. Z. Chena, Z. Cao, Q. Huang, and S. L. Campbell, Decentralized observer-based reliable control for a class of interconnected Markov jumped time-delay system subject to actuator saturation and failure, Circuits, Systems and Signal Processing, 37 (11), 4728-4752, 2018.

  224. Z. Chen, Z. Cao, Q. Huang, and S. L. Campbell, Reliable H_infty control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure, J. Franklin Institute, 355 (2018), 3853-3872.

  225. S, L. Campbell and R. Nkoukhah, Compose, OML, and Activate: A New Software Suite for Modeling and Simulation, Proc. 2019 Annual IEEE International Systems Conference (SYSCon2019), Orlando, FL, April 8-11, 2019, 189-196.

  226. S. L. Campbell, J. T. Betts, and C. Digirolamo, Comments on initial guess sensitivity when solving optimal control problems using interior point methods, Numerical Algebra, Control, and Optimization, to appear, 2019.

  227. S. L. Campbell and M. A. Campbell, A Problem from Genetics and the Singular Value Decomposition, .Preprint

  228. S. L. Campbell and P. Kunkel, Invariant subspaces, derivative arrays, and the computation of the Drazin inverse, Vietnam Journal of Mathematics, to appear, 2020.