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## Campbell, Stephen LaVern

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 Author ID: campbell.stephen-l Published as: Campbell, S.; Campbell, S. L.; Campbell, Stephen; Campbell, Stephen L. Homepage: http://www4.ncsu.edu/~slc/ External Links: MGP · ResearchGate · dblp · GND
 Documents Indexed: 167 Publications since 1972, including 15 Books Reviewing Activity: 179 Reviews
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#### Co-Authors

 60 single-authored 18 Nikoukhah, Ramine 11 Betts, John T. 9 Kunkel, Peter 9 Meyer, Carl Dean jun. 7 Delebecque, Francois 6 Marszałek, Wiesław 5 Biehn, Neil 4 Faulkner, Gary D. 4 Gellar, Ralph 4 Mehrmann, Volker 4 Petzold, Linda Ruth 4 Rose, Nicholas J. 4 Zhong, Yangchun 3 Ashari, Alireza Esna 3 Bobinyec, Karen S. 3 Clark, Kenneth D. 3 Engelsone, Anna 3 Moore, Edward L. F. 3 Thompson, Karmethia C. 2 Biegler, Lorenz T. 2 Brenan, Kathryn E. 2 Chancelier, Jean-Philippe 2 Gardner, Marianne L. 2 Gupta, Bhisham C. 2 Hollenbeck, Richard 2 Horton, Kirk G. 2 Huffman, William P. 2 Ipsen, Ilse C. F. 2 Kelley, Carl T. 2 März, Roswitha 2 Okay, Irfan 2 Poole, George D. 2 Terrell, William J. 2 von Wissel, Dirk 2 Yeomans, Kevin D. 1 Arévalo, Camilo 1 Barker, George Phillip 1 Cao, Zhong 1 Chen, Zhaohui 1 Choe, D. 1 Daughtry, John 1 Digirolamo, Claire 1 Drake, K. R. 1 Fair, Martene L. 1 Griepentrog, Eberhard 1 Holte, Lise E. 1 Huang, Qi 1 Ilchmann, Achim 1 Jay, Laurent-Olivier 1 Kociȩcki, Maciej 1 Lewis, Frank Leroy 1 Linh, Vu Hoang 1 Moore, Edward F. 1 Nichols, Nancy K. 1 Rakowski, Marek 1 Reis, Timo 1 Rentrop, Peter 1 Riaza, Ricardo 1 Rodríguez, Jesús F. 1 Scott, Jason S. 1 Selva, M. Luisa Martí 1 Silverstein, Jack W. 1 Sine, R. 1 Westbrook, Tracey 1 William Gear, C. 1 Xue, Zhiqin 1 Zou, Yun
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#### Serials

 9 Automatica 8 Proceedings of the American Mathematical Society 8 Circuits, Systems, and Signal Processing 8 Linear Algebra and its Applications 7 IEEE Transactions on Automatic Control 7 Journal of Computational and Applied Mathematics 6 Pacific Journal of Mathematics 6 Applied Numerical Mathematics 5 Linear and Multilinear Algebra 4 Numerical Algorithms 4 Numerical Algebra, Control and Optimization 3 International Journal of Control 3 International Journal of Systems Science 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 2 Applicable Analysis 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Differential Equations 2 SIAM Journal on Algebraic and Discrete Methods 2 SIAM Journal on Scientific Computing 2 International Journal of Applied Mathematics and Computer Science 2 Optimization and Engineering 2 Classics in Applied Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 Journal of the Franklin Institute 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 BIT 1 Canadian Mathematical Bulletin 1 Econometrica 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetika 1 Mathematica Japonica 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Systems & Control Letters 1 IMA Journal of Mathematical Control and Information 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Multidimensional Systems and Signal Processing 1 International Journal of Adaptive Control and Signal Processing 1 IEE Proceedings. Part D. Control Theory and Applications 1 Annals of Numerical Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 European Journal of Control 1 Mathematical and Computer Modelling of Dynamical Systems 1 Oberwolfach Reports 1 Advances in Design and Control 1 Differential-Algebraic Equations Forum 1 Princeton Series in Applied Mathematics
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#### Fields

 78 Ordinary differential equations (34-XX) 62 Numerical analysis (65-XX) 54 Systems theory; control (93-XX) 27 Operator theory (47-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 6 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

145 Publications have been cited 3,257 times in 2,188 Documents Cited by Year
Generalized inverses of linear transformations. Zbl 0417.15002
Campbell, Stephen L.; Meyer, Carl D. jun.
1979
Numerical solution of initial-value problems in differential-algebraic equations. Unabridged, corr. republ. Zbl 0844.65058
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
1996
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
1989
Singular systems of differential equations. Zbl 0419.34007
Campbell, S. L.
1980
Singular systems of differential equations. II. Zbl 0482.34008
Campbell, S. L.
1982
Generalized inverses of linear transformations. Corrected reprint of the 1979 original. Zbl 0732.15003
Campbell, S. L.; Meyer, C. D. jun.
1991
Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients. Zbl 0341.34001
Campbell, Stephen L.; Meyer, Carl D. jun.; Rose, Nicholas J.
1976
Generalized inverses of linear transformations. Reprint of the 1991 corrected reprint of the 1979 original. Zbl 1158.15301
Campbell, Stephen L.; Meyer, Carl D.
2009
The index of general nonlinear DAEs. Zbl 0844.34007
Campbell, Stephen L.; Gear, C. William
1995
Singular linear systems of differential equations with delays. Zbl 0444.34062
Campbell, Stephen L.
1980
Solvability of general differential algebraic equations. Zbl 0821.34005
Campbell, Stephen L.; Griepentrog, E.
1995
A general form for solvable linear time varying singular systems of differential equations. Zbl 0623.34005
Campbell, Stephen L.
1987
The Drazin inverse and systems of second order linear differential equations. Zbl 0523.15007
Campbell, Stephen L.
1983
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
1983
Continuity properties of the Drazin pseudoinverse. Zbl 0301.15004
Campbell, Stephen L.; Meyer, Carl D. jun.
1975
The numerical solution of higher index linear time varying singular systems of differential equations. Zbl 0664.65084
Campbell, Stephen L.
1985
Duality, observability, and controllability for linear time-varying descriptor systems. Zbl 0752.93009
Campbell, Stephen L.; Nichols, Nancy K.; Terrell, William J.
1991
Kalman filtering for general discrete-time linear systems. Zbl 0965.93096
Nikoukhah, Ramine; Campbell, Stephen L.; Delebecque, Francois
1999
GMRES and the minimal polynomial. Zbl 0865.65017
Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.
1996
Auxiliary signal design for failure detection. Zbl 1055.94036
Campbell, Stephen L.; Nikoukhah, Ramine
2004
Singular perturbation of autonomous linear systems. Zbl 0413.34055
Campbell, Stephen L.; Rose, Nicholas J.
1979
Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions. Zbl 1169.65079
Campbell, Stephen L.; Linh, Vu Hoang
2009
The index of an infinite dimensional implicit system. Zbl 0922.35040
Campbell, S. L.; Marszalek, W.
1999
EP operators and generalized inverses. Zbl 0317.15004
Campbell, Stephen L.; Meyer, Carl D. jun.
1975
Linearization of DAEs along trajectories. Zbl 0837.34007
Campbell, Stephen L.
1995
Least squares completions for nonlinear differential algebraic equations. Zbl 0804.65066
Campbell, Stephen L.
1993
Convergence estimates for solution of integral equations with GMRES. Zbl 0859.65137
Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.; Xue, Z. Q.
1996
Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071
Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker
2012
Uniqueness of completions for linear time varying differential algebraic equations. Zbl 0743.34006
Campbell, Stephen L.
1992
Observability of linear time-varying descriptor systems. Zbl 0736.93007
Campbell, Stephen L.; Terrell, William J.
1991
On k-quasihyponormal operators. Zbl 0398.47014
Campbell, S. L.; Gupta, B. C.
1978
DAEs, control, and optimization. Zbl 1317.65143
Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker
2012
Modeling and simulation in Scilab/Scicos. Zbl 1090.65001
Campbell, Stephen L.; Chancelier, Jean-Philippe; Nikoukhah, Ramine
2006
The jump behavior and stability analysis for 2-D singular systems. Zbl 0964.93054
Zou, Yun; Campbell, S. L.
2000
Constraint preserving integrators for general nonlinear higher index DAEs. Zbl 0822.65047
Campbell, Stephen L.; Moore, Edward
1995
One canonical form for higher-index linear time-varying singular systems. Zbl 0523.93021
Campbell, Stephen L.
1983
Recent applications of generalized inverses. Zbl 0496.15007
Campbell, S. L.
1982
The stable solutions of quadratic matrix equations. Zbl 0403.15012
Campbell, Stephen; Daughtry, John
1979
DAEs arising from traveling wave solutions of PDEs. Zbl 0952.34002
Campbell, Stephen L.; Marszalek, Wieslaw
1997
Utilization of automatic differentiation in control algorithms. Zbl 0814.93048
Campbell, Stephen L.; Moore, Edward; Zhong, Yangchun
1994
Regularizations of linear time varying singular systems. Zbl 0535.93042
Campbell, Stephen L.
1984
Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice. Zbl 1170.49311
Betts, J. T.; Campbell, S. L.; Engelsone, A.
2007
Direct transcription solution of higher-index optimal control problems and the virtual index. Zbl 1113.65066
Engelsone, A.; Campbell, S. L.; Betts, J. T.
2007
Index two linear time-varying singular systems of differential equations. Zbl 0521.34004
Campbell, Stephen L.
1983
Computing nonnegative rank factorizations. Zbl 0452.15018
Campbell, Stephen L.; Poole, George D.
1981
On continuity of the Moore-Penrose and Drazin generalized inverses. Zbl 0358.15002
Campbell, Stephen L.
1977
Auxiliary signal design for robust multimodel identification. Zbl 1364.93833
Nikoukhah, Ramine; Campbell, Stephen L.; Horton, Kirk G.; Delebecque, François
2002
Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints. Zbl 1009.49025
Betts, J. T.; Biehn, N.; Campbell, S. L.
2002
Linear systems of differential equations with singular coefficients. Zbl 0379.34009
Campbell, Stephen L.
1977
Auxiliary signal design for active failure detection in uncertain linear systems with a priori information. Zbl 1099.93024
Nikoukhah, Ramine; Campbell, Stephen L.
2006
Auxiliary signal design for rapid multi-model identification using optimization. Zbl 1010.93033
Campbell, S. L.; Horton, K. G.; Nikoukhah, R.
2002
Detection signal design for failure detection: A robust approach. Zbl 0988.93078
Nikoukhah, R.; Campbell, S. L.; Delebecque, F.
2000
Some comments on DAE theory for IRK methods and trajectory optimization. Zbl 0956.65070
Biehn, Neil; Campbell, Stephen L.; Jay, Laurent; Westbrook, Tracey
2000
Continuity of the Drazin inverse. Zbl 0441.15003
Campbell, Stephen L.
1980
Optimal control of autonomous linear processes with singular matrices in the quadratic cost functional. Zbl 0346.49010
Campbell, Stephen L.
1976
Linear operators for which T$$^*$$T and TT$$^*$$ commute. II. Zbl 0295.47037
Campbell, Stephen L.
1974
Active robust fault detection in closed-loop systems: quadratic optimization approach. Zbl 1369.93330
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2012
Automatic differentiation and implicit differential equations. Zbl 0879.65044
Campbell, Stephen L.; Hollenbeck, Richard
1996
Nonregular 2D descriptor delay systems. Zbl 0835.34085
Campbell, Stephen L.
1995
Differentiation of the Drazin inverse. Zbl 0329.65027
Campbell, Stephen L.
1976
Linear operators for which $$T^*T$$ and $$TT^*$$ commute. Zbl 0236.47031
Campbell, Stephen L.
1972
Effects of feedback on active fault detection. Zbl 1246.93053
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2012
Auxiliary signal design for robust active fault detection of linear discrete-time systems. Zbl 1227.93073
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2011
Completions of implicitly defined linear time varying vector fields. Zbl 1187.34009
Okay, Irfan; Campbell, Stephen L.; Kunkel, Peter
2009
A multi-model approach to failure detection in uncertain sampled-data systems. Zbl 1293.93509
Nikoukhah, R.; Campbell, S. L.
2005
Discretize then optimize. Zbl 1197.49032
Betts, John T.; Campbell, Stephen L.
2005
Compensating for order variation in mesh refinement for direct transcription methods. Zbl 0971.65075
Betts, John T.; Biehn, Neil; Campbell, Stephen L.; Huffman, William P.
2000
Observer design for general linear time-invariant systems. Zbl 0934.93014
Nikoukhah, R.; Campbell, S. L.; Delebecque, F.
1998
A second order singular linear system arising in electric power systems analysis. Zbl 0474.93032
Campbell, Stephen L.; Rose, Nicholas J.
1982
Nonregular singular dynamic Leontief systems. Zbl 0418.90024
Campbell, Stephen L.
1979
On a singularly perturbed autonomous linear control problem. Zbl 0398.93024
Campbell, Stephen L.
1979
Weak Drazin inverses. Zbl 0379.15002
Campbell, Stephen L.; Meyer, Carl D. jun.
1978
Singular perturbation of autonomous linear systems. II. Zbl 0354.34056
Campbell, Stephen L.
1978
The Drazin inverse of an infinite matrix. Zbl 0338.15004
Campbell, Stephen L.
1976
Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations. Zbl 1116.65078
Campbell, Stephen L.; März, Roswitha
2007
On singular equilibria of index-1 DAEs. Zbl 0976.34003
Riaza, Ricardo; Campbell, Stephen L.; Marszalek, Wieslaw
2000
DAEs arising from traveling wave solutions of PDEs. II. Zbl 0952.34003
Marszalek, W.; Campbell, S. L.
1999
Progress on a general numerical method for nonlinear higher index DAEs. II. Zbl 0800.93524
Campbell, Stephen L.; Moore, Edward
1994
On using orthogonal functions with singular systems. Zbl 0552.93033
Campbell, S. L.
1984
Isometries, projections and Wold decompositions. Zbl 0465.47014
Campbell, S.; Faulkner, G.; Sine, R.
1979
Singular perturbation of autonomous linear systems. III. Zbl 0387.34041
Campbell, Stephen L.; Rose, Nicholas J.
1979
Completions of nonlinear DAE flows based on index reduction techniques and their stabilization. Zbl 1180.65100
Campbell, Stephen L.; Kunkel, Peter
2009
The additional dynamics of least squares completions for linear differential algebraic equations. Zbl 1132.34006
Okay, Irfan; Campbell, Stephen L.; Kunkel, Peter
2007
Unitary partitioning in general constraint preserving DAE integrators. Zbl 1074.65099
Arévalo, C.; Campbell, S. L.; Selva, M.
2004
Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience. Zbl 1006.65088
Betts, J. T.; Biehn, N.; Campbell, S. L.; Huffman, W. P.
2002
Numerically constructible observers for linear time-varying descriptor systems. Zbl 0967.93011
Biehn, Neil; Campbell, Stephen L.; Nikoukhah, Ramine; Delebecque, Francois
2001
ODE/DAE integrators and MOL problems. Zbl 0900.65274
Campbell, S.; Marszalek, W.
1996
Index two linear time varying singular systems of differential equations. Zbl 0634.34006
Campbell, Stephen L.
1986
Order and the index of singular time-invariant linear systems. Zbl 0474.93031
Campbell, Stephen L.; Clark, Kenneth
1981
Linear operators for which $$T^*T$$ and $$T+T^*$$ commute. II. Zbl 0346.47003
Campbell, Stephen L.; Gellar, Ralph
1977
Linear operators for which $$T^*T$$ and $$T+T^*$$ commute. Zbl 0301.47005
Campbell, Stephen L.
1975
On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations. Zbl 1255.65118
Campbell, Stephen L.; Kunkel, Peter
2013
Optimal control of a delay PDE. Zbl 1317.49032
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2012
Numerical methods for unstructured higher index DAEs. Zbl 0832.65065
Campbell, Stephen L.
1994
Comments on 2-D descriptor systems. Zbl 0733.93048
Campbell, Stephen L.
1991
Optimal control of discrete linear processes with quadratic cost. Zbl 0384.49013
Campbell, Stephen L.
1978
Spectral properties of linear operators for which $$T^*T$$ and $$T+T^*$$ commute. Zbl 0318.47018
Campbell, Stephen L.; Gellar, Ralph
1977
Solving higher index DAE optimal control problems. Zbl 1355.65081
Campbell, Stephen; Kunkel, Peter
2016
Solving optimal control problems with control delays using direct transcription. Zbl 1346.65033
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2016
Lobatto IIIA methods, direct transcription, and DAEs with delays. Zbl 1317.65162
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia
2015
General nonlinear differential algebraic equations and tracking problems: a robotics example. Zbl 07218210
Campbell, Stephen; Kunkel, Peter
2019
Reliable $$H_\infty$$ control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure. Zbl 1390.93278
Chen, Zhaohui; Cao, Zhong; Huang, Qi; Campbell, Stephen L.
2018
Solving higher index DAE optimal control problems. Zbl 1355.65081
Campbell, Stephen; Kunkel, Peter
2016
Solving optimal control problems with control delays using direct transcription. Zbl 1346.65033
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2016
Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches. Zbl 1353.65060
Campbell, Stephen L.; Betts, John T.
2016
Lobatto IIIA methods, direct transcription, and DAEs with delays. Zbl 1317.65162
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia
2015
Linear differential algebraic equations and observers. Zbl 1328.93003
Bobinyec, Karen S.; Campbell, Stephen L.
2015
The flexibility of DAE formulations. Zbl 1343.65101
Campbell, Stephen L.
2015
Auxiliary signal design for failure detection in differential-algebraic equations. Zbl 1350.93058
Scott, Jason; Campbell, Stephen L.
2014
On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations. Zbl 1255.65118
Campbell, Stephen L.; Kunkel, Peter
2013
Eigenvalue placement in completions of DAEs. Zbl 1323.34014
Campbell, Stephen L.; Holte, Lise E.
2013
Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071
Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker
2012
DAEs, control, and optimization. Zbl 1317.65143
Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker
2012
Active robust fault detection in closed-loop systems: quadratic optimization approach. Zbl 1369.93330
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2012
Effects of feedback on active fault detection. Zbl 1246.93053
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2012
Optimal control of a delay PDE. Zbl 1317.49032
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2012
Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Zbl 1256.65001
Biegler, Lorenz T. (ed.); Campbell, Stephen L. (ed.); Mehrmann, Volker (ed.)
2012
A minimal norm corrected underdetermined Gauß-Newton procedure. Zbl 1245.65106
Campbell, Stephen L.; Kunkel, Peter; Bobinyec, Karen
2012
Auxiliary signal design for robust active fault detection of linear discrete-time systems. Zbl 1227.93073
Ashari, Alireza Esna; Nikoukhah, Ramine; Campbell, Stephen L.
2011
Active incipient fault detection in continuous time systems with multiple simultaneous faults. Zbl 1242.93042
Fair, Martene L.; Campbell, Stephen L.
2011
An active approach for detection of incipient faults. Zbl 1292.90097
Nikoukhah, R.; Campbell, S. L.; Drake, K.
2010
Modeling and simulation in Scilab/Scicos with ScicosLab 4.4. 2nd ed. Zbl 1181.65005
Campbell, Stephen L.; Chancelier, Jean-Philippe; Nikoukhah, Ramine
2010
Stabilized completions of differential algebraic equations and the design of observers. Zbl 1229.34005
Bobinyec, Karen; Campbell, Stephen L.; Kunkel, Peter
2010
Generalized inverses of linear transformations. Reprint of the 1991 corrected reprint of the 1979 original. Zbl 1158.15301
Campbell, Stephen L.; Meyer, Carl D.
2009
Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions. Zbl 1169.65079
Campbell, Stephen L.; Linh, Vu Hoang
2009
Completions of implicitly defined linear time varying vector fields. Zbl 1187.34009
Okay, Irfan; Campbell, Stephen L.; Kunkel, Peter
2009
Completions of nonlinear DAE flows based on index reduction techniques and their stabilization. Zbl 1180.65100
Campbell, Stephen L.; Kunkel, Peter
2009
Optimal piecewise-constant signal design for active fault detection. Zbl 1154.93334
Choe, D.; Campbell, S. L.; Nikoukhah, R.
2009
Adjoint estimation using direct transcription multipliers: compressed trapezoidal method. Zbl 1219.49027
Engelsone, Anna; Campbell, Stephen L.
2008
Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice. Zbl 1170.49311
Betts, J. T.; Campbell, S. L.; Engelsone, A.
2007
Direct transcription solution of higher-index optimal control problems and the virtual index. Zbl 1113.65066
Engelsone, A.; Campbell, S. L.; Betts, J. T.
2007
Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations. Zbl 1116.65078
Campbell, Stephen L.; März, Roswitha
2007
The additional dynamics of least squares completions for linear differential algebraic equations. Zbl 1132.34006
Okay, Irfan; Campbell, Stephen L.; Kunkel, Peter
2007
Modeling and simulation in Scilab/Scicos. Zbl 1090.65001
Campbell, Stephen L.; Chancelier, Jean-Philippe; Nikoukhah, Ramine
2006
Auxiliary signal design for active failure detection in uncertain linear systems with a priori information. Zbl 1099.93024
Nikoukhah, Ramine; Campbell, Stephen L.
2006
A multi-model approach to failure detection in uncertain sampled-data systems. Zbl 1293.93509
Nikoukhah, R.; Campbell, S. L.
2005
Discretize then optimize. Zbl 1197.49032
Betts, John T.; Campbell, Stephen L.
2005
Auxiliary signal design for failure detection. Zbl 1055.94036
Campbell, Stephen L.; Nikoukhah, Ramine
2004
Unitary partitioning in general constraint preserving DAE integrators. Zbl 1074.65099
Arévalo, C.; Campbell, S. L.; Selva, M.
2004
Auxiliary signal design for robust multimodel identification. Zbl 1364.93833
Nikoukhah, Ramine; Campbell, Stephen L.; Horton, Kirk G.; Delebecque, François
2002
Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints. Zbl 1009.49025
Betts, J. T.; Biehn, N.; Campbell, S. L.
2002
Auxiliary signal design for rapid multi-model identification using optimization. Zbl 1010.93033
Campbell, S. L.; Horton, K. G.; Nikoukhah, R.
2002
Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience. Zbl 1006.65088
Betts, J. T.; Biehn, N.; Campbell, S. L.; Huffman, W. P.
2002
Numerically constructible observers for linear time-varying descriptor systems. Zbl 0967.93011
Biehn, Neil; Campbell, Stephen L.; Nikoukhah, Ramine; Delebecque, Francois
2001
Numerical analysis and systems theory. Zbl 1002.93004
Campbell, Stephen L.
2001
The jump behavior and stability analysis for 2-D singular systems. Zbl 0964.93054
Zou, Yun; Campbell, S. L.
2000
Detection signal design for failure detection: A robust approach. Zbl 0988.93078
Nikoukhah, R.; Campbell, S. L.; Delebecque, F.
2000
Some comments on DAE theory for IRK methods and trajectory optimization. Zbl 0956.65070
Biehn, Neil; Campbell, Stephen L.; Jay, Laurent; Westbrook, Tracey
2000
Compensating for order variation in mesh refinement for direct transcription methods. Zbl 0971.65075
Betts, John T.; Biehn, Neil; Campbell, Stephen L.; Huffman, William P.
2000
On singular equilibria of index-1 DAEs. Zbl 0976.34003
Riaza, Ricardo; Campbell, Stephen L.; Marszalek, Wieslaw
2000
Kalman filtering for general discrete-time linear systems. Zbl 0965.93096
Nikoukhah, Ramine; Campbell, Stephen L.; Delebecque, Francois
1999
The index of an infinite dimensional implicit system. Zbl 0922.35040
Campbell, S. L.; Marszalek, W.
1999
DAEs arising from traveling wave solutions of PDEs. II. Zbl 0952.34003
Marszalek, W.; Campbell, S. L.
1999
Observer design for general linear time-invariant systems. Zbl 0934.93014
Nikoukhah, R.; Campbell, S. L.; Delebecque, F.
1998
Behavior of the nonunique terms in general DAE integrators. Zbl 0931.65089
Campbell, Stephen L.; Yeomans, Kevin D.
1998
Mixed symbolic-numerical computations with general DAEs. I: System properties. Zbl 0929.34002
Campbell, S. L.; Hollenbeck, R.; Yeomans, K.; Zhong, Y.
1998
Mixed symbolic-numerical computations with general DAEs. II: An applications case study. Zbl 0929.34003
Campbell, Stephen L.; Marszalek, Wieslaw
1998
DAEs arising from traveling wave solutions of PDEs. Zbl 0952.34002
Campbell, Stephen L.; Marszalek, Wieslaw
1997
Jacobian reuse in explicit integrators for higher index DAEs. Zbl 0887.65076
Campbell, Stephen L.; Zhong, Yangchun
1997
Numerical solution of initial-value problems in differential-algebraic equations. Unabridged, corr. republ. Zbl 0844.65058
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
1996
GMRES and the minimal polynomial. Zbl 0865.65017
Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.
1996
Convergence estimates for solution of integral equations with GMRES. Zbl 0859.65137
Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.; Xue, Z. Q.
1996
Automatic differentiation and implicit differential equations. Zbl 0879.65044
Campbell, Stephen L.; Hollenbeck, Richard
1996
ODE/DAE integrators and MOL problems. Zbl 0900.65274
Campbell, S.; Marszalek, W.
1996
Constraint preserving integrators for unstructured higher index DAEs. Zbl 0900.65244
Campbell, S.; Moore, E.; Zhong, Y.
1996
The index of general nonlinear DAEs. Zbl 0844.34007
Campbell, Stephen L.; Gear, C. William
1995
Solvability of general differential algebraic equations. Zbl 0821.34005
Campbell, Stephen L.; Griepentrog, E.
1995
Linearization of DAEs along trajectories. Zbl 0837.34007
Campbell, Stephen L.
1995
Constraint preserving integrators for general nonlinear higher index DAEs. Zbl 0822.65047
Campbell, Stephen L.; Moore, Edward
1995
Nonregular 2D descriptor delay systems. Zbl 0835.34085
Campbell, Stephen L.
1995
Utilization of automatic differentiation in control algorithms. Zbl 0814.93048
Campbell, Stephen L.; Moore, Edward; Zhong, Yangchun
1994
Progress on a general numerical method for nonlinear higher index DAEs. II. Zbl 0800.93524
Campbell, Stephen L.; Moore, Edward
1994
Numerical methods for unstructured higher index DAEs. Zbl 0832.65065
Campbell, Stephen L.
1994
Explicit formulae for completions of linear time varying singular systems of differential equations. Zbl 0804.34002
Campbell, Stephen L.; Rakowski, Marek
1994
Least squares completions for nonlinear differential algebraic equations. Zbl 0804.65066
Campbell, Stephen L.
1993
Uniqueness of completions for linear time varying differential algebraic equations. Zbl 0743.34006
Campbell, Stephen L.
1992
Generalized inverses of linear transformations. Corrected reprint of the 1979 original. Zbl 0732.15003
Campbell, S. L.; Meyer, C. D. jun.
1991
Duality, observability, and controllability for linear time-varying descriptor systems. Zbl 0752.93009
Campbell, Stephen L.; Nichols, Nancy K.; Terrell, William J.
1991
Observability of linear time-varying descriptor systems. Zbl 0736.93007
Campbell, Stephen L.; Terrell, William J.
1991
Comments on 2-D descriptor systems. Zbl 0733.93048
Campbell, Stephen L.
1991
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
1989
Control problem structure and the numerical solution of linear singular systems. Zbl 0666.93030
Campbell, Stephen L.
1988
Singular control problem structure and the convergence of backward differentiation formulas. Zbl 0675.93051
Campbell, Stephen L.; Clark, Kenneth D.
1988
A general form for solvable linear time varying singular systems of differential equations. Zbl 0623.34005
Campbell, Stephen L.
1987
Index two linear time varying singular systems of differential equations. Zbl 0634.34006
Campbell, Stephen L.
1986
The numerical solution of higher index linear time varying singular systems of differential equations. Zbl 0664.65084
Campbell, Stephen L.
1985
Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations. Zbl 0585.65050
Campbell, Stephen L.
1985
Regularizations of linear time varying singular systems. Zbl 0535.93042
Campbell, Stephen L.
1984
On using orthogonal functions with singular systems. Zbl 0552.93033
Campbell, S. L.
1984
The Drazin inverse and systems of second order linear differential equations. Zbl 0523.15007
Campbell, Stephen L.
1983
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
1983
One canonical form for higher-index linear time-varying singular systems. Zbl 0523.93021
Campbell, Stephen L.
1983
Index two linear time-varying singular systems of differential equations. Zbl 0521.34004
Campbell, Stephen L.
1983
Consistent initial conditions for singular nonlinear systems. Zbl 0516.93026
Campbell, Stephen L.
1983
Internal stability of two dimensional systems. Zbl 0534.15018
Barker, George Phillip; Campbell, Stephen L.
1983
Singular systems of differential equations. II. Zbl 0482.34008
Campbell, S. L.
1982
Recent applications of generalized inverses. Zbl 0496.15007
Campbell, S. L.
1982
A second order singular linear system arising in electric power systems analysis. Zbl 0474.93032
Campbell, Stephen L.; Rose, Nicholas J.
1982
The Drazin inverse of an operator. Zbl 0499.15001
Campbell, S. L.
1982
Nontrivial isometries on $$s_ p($$alpha). Zbl 0485.47017
Campbell, Stephen L.
1982
...and 45 more Documents
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#### Cited by 2,624 Authors

 71 Campbell, Stephen LaVern 62 Wei, Yimin 36 Jódar Sanchez, Lucas Antonio 34 März, Roswitha 32 Mehrmann, Volker 27 Deng, Chunyuan 25 Neumann, Michael 25 Petzold, Linda Ruth 21 Mosić, Dijana 19 Riaza, Ricardo 18 Stanimirović, Predrag S. 16 Đorđević, Dragan S. 16 Thome, Néstor 15 Chuĭko, Sergeĭ Mikhaĭlovich 15 Kunkel, Peter 15 Lamour, René 14 Bu, Changjiang 14 Chistyakov, Viktor Filimonovich 14 Christodoulou, Manolis A. 14 Cvetković-Ilić, Dragana S. 14 Koliha, Jerry J. 14 Shcheglova, Alla Arkad’evna 14 Trenkler, Götz 14 Zhang, Qingling 13 Ding, Jiu 13 Linh, Vu Hoang 13 Liu, Xiaoji 12 Navarro, Enrique A. 12 Pantelous, Athanasios A. 12 Tian, Yongge 11 Hanke, Michael 11 Kalogeropoulos, Grigoris I. 11 Kirkland, Stephen J. 11 Moore, Peter K. 11 Simeon, Bernd 10 Benítez Lopez, Julio 10 Bernstein, Dennis S. 10 Nikoukhah, Ramine 10 Tischendorf, Caren 9 Arnold, Martin 9 Bapat, Ravindra Bhalchandra 9 Bayram, Mustafa 9 Berger, Thomas R. 9 Çelik, Ercan 9 Chistyakova, Elena Viktorovna 9 Dai, Liyi 9 Diao, Huaian 9 Estévez Schwarz, Diana 9 Lovass-Nagy, Victor 9 Mertzios, Basil G. 9 Meyer, Carl Dean jun. 9 Pryce, John D. 9 Šepitka, Peter 9 Šimon Hilscher, Roman 9 Song, Yongzhong 9 Wei, Musheng 9 Zou, Yun 8 Bajić, Vladimir B. 8 Baksalary, Oskar Maria 8 Berger, Thomas K. 8 Blajer, Wojciech 8 Bulatov, Mikhail Valer’yanovich 8 Cao, Chongguang 8 Castro González, Nieves 8 Chen, Guoliang 8 Duggal, Bhagwati Prashad 8 Karampetakis, Nicholas P. 8 Ko, Eungil 8 Marszałek, Wiesław 8 Nguyen Huu Du 8 Petrenko, Pavel Sergeevich 8 Rabier, Patrick J. 8 Rang, Joachim 8 Rodman, Leiba X. 8 Trenn, Stephan 7 Altmann, Robert 7 Barton, Paul I. 7 Betts, John T. 7 Chen, Yonglin 7 Haddad, Wassim Michael 7 Hartwig, Robert E. 7 Hosseini, Mohammad-Mehdi 7 Ji, Jun 7 Kaczorek, Tadeusz 7 Liu, Yongqing 7 Reis, Timo 7 Rheinboldt, Werner C. 7 Seiler, Werner M. 7 Trzaska, Zdzislaw W. 7 Vũ Ngoc Phát 7 Wang, Guorong 7 Yang, Chunyu 7 Zhang, Naimin 6 Bejarano, Francisco Javier 6 Chao, Zhen 6 Clark, Kenneth D. 6 Coll, Carmen 6 Dassios, Ioannis K. 6 Gerdts, Matthias 6 Huang, Jingfang ...and 2,524 more Authors
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#### Cited in 304 Serials

 267 Linear Algebra and its Applications 178 Applied Mathematics and Computation 91 Journal of Computational and Applied Mathematics 86 Automatica 77 Applied Numerical Mathematics 56 International Journal of Control 52 Computers & Mathematics with Applications 49 Journal of Mathematical Analysis and Applications 47 Circuits, Systems, and Signal Processing 40 Linear and Multilinear Algebra 38 Journal of the Franklin Institute 35 Computer Methods in Applied Mechanics and Engineering 33 Journal of Computational Physics 32 Systems & Control Letters 30 International Journal of Systems Science 30 Multibody System Dynamics 24 BIT 24 Numerical Algorithms 24 International Journal of Computer Mathematics 21 Numerische Mathematik 20 Applied Mathematics Letters 20 Journal of Mathematical Sciences (New York) 19 Journal of Optimization Theory and Applications 19 Journal of Applied Mathematics and Computing 17 Journal of Differential Equations 17 SIAM Journal on Matrix Analysis and Applications 17 MCSS. Mathematics of Control, Signals, and Systems 16 Abstract and Applied Analysis 16 International Journal of Applied Mathematics and Computer Science 15 Mathematical and Computer Modelling 14 Mathematics and Computers in Simulation 14 Applied Mathematical Modelling 13 Mathematics of Computation 13 Mathematical Problems in Engineering 12 Nonlinear Dynamics 12 Differential Equations 9 SIAM Journal on Algebraic and Discrete Methods 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Mathematical and Computer Modelling of Dynamical Systems 8 Integral Equations and Operator Theory 8 Siberian Mathematical Journal 8 Russian Mathematics 8 Computational and Applied Mathematics 8 ELA. The Electronic Journal of Linear Algebra 8 European Journal of Control 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Applied Mathematics 7 Ukrainian Mathematical Journal 7 Computing 7 Kybernetika 7 Proceedings of the American Mathematical Society 7 Numerical Linear Algebra with Applications 7 Discrete Dynamics in Nature and Society 7 Frontiers of Mathematics in China 6 Czechoslovak Mathematical Journal 6 Physica D 6 Applications of Mathematics 6 Communications in Statistics. Theory and Methods 6 International Journal of Robust and Nonlinear Control 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Complex Analysis and Operator Theory 6 Numerical Algebra, Control and Optimization 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Applicable Analysis 5 Computers and Fluids 5 Acta Mathematica Vietnamica 5 International Journal for Numerical Methods in Engineering 5 Results in Mathematics 5 Journal of Economic Dynamics & Control 5 Aequationes Mathematicae 5 SIAM Journal on Scientific Computing 5 Journal of the Australian Mathematical Society 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computer Physics Communications 4 Mathematical Methods in the Applied Sciences 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Chaos, Solitons and Fractals 4 Calcolo 4 Fuzzy Sets and Systems 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Control and Optimization 4 Theoretical Computer Science 4 Optimal Control Applications & Methods 4 Stochastic Analysis and Applications 4 Multidimensional Systems and Signal Processing 4 Automation and Remote Control 4 Journal of Dynamics and Differential Equations 4 Computational Optimization and Applications 4 Advances in Computational Mathematics 4 Optimization Methods & Software 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Advances in Difference Equations 4 Banach Journal of Mathematical Analysis 4 Journal of Control Science and Engineering 4 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Discrete Applied Mathematics 3 Mathematical Biosciences 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) ...and 204 more Serials
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#### Cited in 57 Fields

 736 Numerical analysis (65-XX) 649 Ordinary differential equations (34-XX) 547 Linear and multilinear algebra; matrix theory (15-XX) 525 Systems theory; control (93-XX) 191 Operator theory (47-XX) 124 Partial differential equations (35-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 110 Mechanics of particles and systems (70-XX) 74 Probability theory and stochastic processes (60-XX) 73 Fluid mechanics (76-XX) 66 Computer science (68-XX) 66 Operations research, mathematical programming (90-XX) 55 Functional analysis (46-XX) 55 Mechanics of deformable solids (74-XX) 53 Dynamical systems and ergodic theory (37-XX) 39 Combinatorics (05-XX) 38 Biology and other natural sciences (92-XX) 38 Information and communication theory, circuits (94-XX) 35 Difference and functional equations (39-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Statistics (62-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Optics, electromagnetic theory (78-XX) 18 Associative rings and algebras (16-XX) 17 Integral equations (45-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Commutative algebra (13-XX) 11 Real functions (26-XX) 8 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Geophysics (86-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)