Edit Profile (opens in new tab) Martin, Clyde Franklin Co-Author Distance Author ID: martin.clyde-f Published as: Martin, Clyde F.; Martin, Clyde; Martin, C. F.; Martin, C. more...less External Links: MGP · Wikidata · ResearchGate · dblp · GND Documents Indexed: 209 Publications since 1971, including 3 Books and 3 Additional arXiv Preprints 11 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 112 Co-Authors with 202 Joint Publications 1,886 Co-Co-Authors all top 5 Co-Authors 12 single-authored 24 Dayawansa, Wijesuriya P. 17 Gilliam, David S. 16 Egerstedt, Magnus B. 11 Byrnes, Christopher Ian 9 Hermann, Robert 9 Stamp, Mark 8 Cheng, Daizhan 7 Hu, Xiaoming 7 Kano, Hiroyuki 7 Mair, Bernard A. 6 Allen, Linda J. S. 6 Drager, Lance D. 6 Hazewinkel, Michiel 6 Ogura, Masaki 6 Zhou, Yishao 5 Ammar, Gregory S. 5 Fujioka, Hiroyuki 5 Ghosh, Bijoy Kumar 5 Wallace, Dorothy I. 4 DeStefano, Alisa 4 Iakovidis, Ilias 4 Schovanec, Lawrence 4 Shubov, Marianna A. 4 Shubov, Viktor Isaakovich 4 Wang, Xiaochang Alex 4 Xie, Shishen 3 Belinsky, Boris P. 3 Foote, Robert L. 3 Hanlon, Bret M. 3 Jönsson, Ulf T. 3 Karasalo, Maja 3 Lund, John R. 3 Nagahara, Masaaki 3 Sun, Shan 3 Zhang, Zhimin 2 Carpio, Ronaldo 2 Dauer, Jerald P. 2 DeWoody, Yssa 2 Elliott, David L. 2 Garzia, Mario R. 2 Grossman, Robert L. 2 Harris, Gary Alvin 2 He, Bo 2 Ho, Yu-Chi 2 Huo, Lin 2 Lewis, Truman 2 Li, Zhu 2 Loparo, Kenneth A. 2 Nakata, Hiroaki 2 Pang, Yulei 2 Ruymgaart, Frits H. 2 Saeks, Richard E. 2 Thitsa, Makhin 2 Tomlinson, John 2 White, John Thomas 1 Agwu, Nwojo N. 1 Balogh, Zoltan T. 1 Barnard, Roger W. 1 Başar, Tamer 1 Bennett, Harold R. 1 Bier, Benjamin A. 1 Bitmead, Robert R. 1 Bittanti, Sergio 1 Callier, Frank M. 1 Charles, Janelle K. 1 Chauveau, D. E. 1 Colerani, Patrizio 1 Cordero, Minerva 1 Datta, Biswa N. 1 Dauson, Erin R. 1 De Nicolao, Giuseppe 1 Dey, Aswini K. 1 Doolin, Brian F. 1 Dragon, André 1 Ekanayake, M. P. B. 1 Enqvist, Per 1 Ewing, Richard Edward 1 George, John H. 1 Gevers, Michael 1 Gross, Kenneth Irwin 1 Gururaj, V. T. 1 Gustafson, William H. 1 Holder, Daniel J. 1 Huang, Andrew 1 Hunt, Louis R. 1 Hurley, Mike 1 Ji, Guangcao 1 Kaphle, Krishna 1 Krishnaprasad, P.s. 1 Kučera, Vladimir V. 1 Lancaster, Peter 1 Laub, Alan J. 1 Lee, Jeffrey M. 1 Lindquist, Anders Gunnar 1 Lockwood, Pamela 1 Loucks, E. P. 1 Lu, Siyuan 1 Luksic, Mladen 1 Mari, Jørge 1 McCasland, Roy L. ...and 30 more Co-Authors all top 5 Serials 27 Applied Mathematics and Computation 15 Communications in Information and Systems 14 International Journal of Control 14 IEEE Transactions on Automatic Control 12 Systems & Control Letters 9 SIAM Journal on Control and Optimization 5 Mathematical Systems Theory 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 2 IEEE Transactions on Information Theory 2 Mathematical Biosciences 2 Automatica 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Linear Algebra and its Applications 2 Journal of Mathematical Systems, Estimation, and Control 2 Journal of Applied Statistics 2 Mathematics Series. Texas Tech University 2 Control Theory and Technology 1 Applicable Analysis 1 International Journal of Systems Science 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Colloquium Mathematicum 1 IEEE Transactions on Computers 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Numerical Functional Analysis and Optimization 1 Communications in Statistics. Stochastic Models 1 Acta Mathematicae Applicatae Sinica. English Series 1 Systems Science and Mathematical Sciences 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Problems of Control and Information Theory 1 International Journal of Robust and Nonlinear Control 1 Journal of Difference Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Control, I. Series 1 Contemporary Mathematics 1 Interdisciplinary Mathematics 1 Lectures in Applied Mathematics 1 Lie Groups: History, Frontiers and Applications. Series B. Systems Information and Control 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Progress in Systems and Control Theory 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of Biological Dynamics 1 Asian Journal of Control 1 Communications and Control Engineering 1 Princeton Series in Applied Mathematics all top 5 Fields 135 Systems theory; control (93-XX) 38 Numerical analysis (65-XX) 31 Approximations and expansions (41-XX) 29 Biology and other natural sciences (92-XX) 20 Partial differential equations (35-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 General and overarching topics; collections (00-XX) 12 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Algebraic geometry (14-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 5 Number theory (11-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of deformable solids (74-XX) 5 Information and communication theory, circuits (94-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Operations research, mathematical programming (90-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 901 times in 727 Documents Cited by ▼ Year ▼ A converse Lyapunov theorem for a class of dynamical systems which undergo switching. Zbl 0960.93046 Dayawansa, Wijesuriya P.; Martin, C. F. 145 1999 The Riccati equation. Zbl 0734.34004 97 1991 Applications of algebraic geometry to systems theory: the McMillan degree and Kronecker indices of transfer functions as topological and holomorphic system invariants. Zbl 0401.93020 Martin, Clyde; Hermann, Robert 49 1978 An algorithm for the \(k\)-error linear complexity of binary sequences with period \(2^ n\). Zbl 0801.94009 Stamp, Mark; Martin, Clyde F. 48 1993 Asymptotic stabilization of a class of smooth two-dimensional systems. Zbl 0731.93076 Dayawansa, W. P.; Martin, C. F.; Knowles, G. 34 1990 Applications of algebraic geometry to systems theory. I. Zbl 0355.93013 Hermann, Robert; Martin, Clyde F. 30 1977 The roots of a polynomial vary continuously as a function of the coefficients. Zbl 0619.30008 Harris, Gary; Martin, Clyde 29 1987 Asymptotic stabilization of two dimensional real analytic systems. Zbl 0673.93064 Dayawansa, W. P.; Martin, C. F. 23 1989 Control theoretic smoothing splines. Zbl 0971.49022 Sun, Shan; Egerstedt, Magnus B.; Martin, Clyde F. 20 2000 Stability analysis of positive semi-Markovian jump linear systems with state resets. Zbl 1300.60106 Ogura, Masaki; Martin, Clyde F. 18 2014 The geometry of matrix eigenvalue methods. Zbl 0639.34046 Ammar, Gregory; Martin, Clyde 17 1986 Exact controllability of the damped wave equation. Zbl 0889.35057 Shubov, Marianna A.; Martin, Clyde F.; Dauer, Jerald P.; Belinskiy, Boris P. 17 1997 An integral-invariance principle for nonlinear systems. Zbl 0831.93058 Byrnes, Christopher I.; Martin, Clyde F. 15 1995 Symmetric linear systems: An application of algebraic systems theory. Zbl 0514.93016 Hazewinkel, M.; Martin, C. 14 1983 Representations of the symmetric group, the specialization order, systems and Grassmann manifolds. Zbl 0536.20009 Hazewinkel, Michiel; Martin, Clyde F. 14 1983 Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. II. Zbl 0527.58033 Hermann, Robert; Martin, Clyde 13 1983 A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023 Allen, L. J. S.; Jones, M. A.; Martin, C. F. 13 1991 Symmetric systems with semi-simple structure algebra: The quaternionic case. Zbl 0521.93016 Hazewinkel, M.; Lewis, J.; Martin, C. 12 1983 Stabilization of nonlinear systems via designed center manifold. Zbl 1012.93052 Cheng, Daizhan; Martin, Clyde 12 2001 A short elementary proof of Grothendieck’s theorem on algebraic vectorbundles over the projective line. Zbl 0489.14005 Hazewinkel, Michiel; Martin, Clyde F. 11 1982 Convergence and Gibbs’ phenomenon in the cubic spline interpolation of discontinuous functions. Zbl 0898.41007 Zhang, Zhimin; Martin, Clyde F. 11 1997 Finite escape time for Riccati differential equations. Zbl 0481.93040 Martin, Clyde 10 1981 Splines and linear control theory. Zbl 0892.41008 Zhang, Zhimin; Tomlinson, John; Martin, Clyde 10 1997 Optimal trajectory planning and smoothing splines. Zbl 0989.93038 Egerstedt, Magnus; Martin, Clyde F. 10 2001 Exponential interpolation: Theory and numerical algorithms. Zbl 0716.65001 Ammar, G.; Dayawansa, W.; Martin, C. 10 1991 Generalized joint spectral radius and stability of switching systems. Zbl 1280.93090 Ogura, M.; Martin, C. F. 10 2013 On controllability of an elastic string with a viscous damping. Zbl 0910.35073 Belinskiy, B. P.; Dauer, J. P.; Martin, C.; Shubov, M. A. 9 1998 Control theoretic splines. Optimal control, statistics, and path planning. Zbl 1213.41005 Egerstedt, Magnus; Martin, Clyde 9 2009 Optimal control, statistics and path planning. Zbl 0976.65057 Martin, C. F.; Sun, Shan; Egerstedt, M. 9 2001 Vaccination strategies for epidemics in highly mobile populations. Zbl 1016.92036 Ögren, Petter; Martin, Clyde F. 9 2002 Optimal curve fitting and smoothing using normalized uniform B-splines: a tool for studying complex systems. Zbl 1121.65304 Kano, Hiroyuki; Nakata, Hiroaki; Martin, Clyde F. 9 2005 Discrete observability of the heat equation on bounded domains. Zbl 0654.93008 Gilliam, David; Li, Zhu; Martin, Clyde 8 1988 Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations. I: General Lie-theoretic methods. Zbl 0508.58034 Hermann, Robert; Martin, Clyde 8 1982 Optimal boundary control of the heat equation with target function at terminal time. Zbl 1040.49037 Ji, Guangcao; Martin, Clyde 7 2002 Asymptotic stabilization of low dimensional systems. Zbl 0738.93065 Dayawansa, W. P.; Martin, C. F. 7 1991 Algebro-geometric and Lie-theoretic techniques in systems theory. Part A. Zbl 0362.93002 Hermann, Robert; Martin, Clyde 7 1977 Geometry and control of human eye movements. Zbl 1366.93424 Polpitiya, Ashoka D.; Dayawansa, Wijesuriya P.; Martin, Clyde F.; Ghosh, Bijoy K. 7 2007 On the smallest enclosing balls. Zbl 1213.90195 Cheng, Daizhan; Hu, Xiaoming; Martin, Clyde 7 2006 Discrete observability and Dirichlet series. Zbl 0627.93011 Gilliam, David S.; Martin, Clyde 6 1987 A discrete sampling inversion scheme for the heat equation. Zbl 0646.65085 Gilliam, David S.; Lund, John R.; Martin, Clyde F. 6 1989 Parameter identification by continuation methods. Zbl 0685.65046 Martin, C.; Miller, J.; Pearce, K. 6 1989 Linear decentralized systems with special structure. Zbl 0494.93012 Martin, Clyde F. 6 1982 On families of systems and deformations. Zbl 0528.93020 Krishnaprasad, P. S.; Martin, C. F. 6 1983 Input recovery from noisy output data, using regularized inversion of the Laplace transform. Zbl 0962.65053 Dey, Aswini K.; Martin, Clyde F.; Ruymgaart, Frits H. 6 1998 Optimal control of dynamic systems: application to spline approximations. Zbl 0944.41006 Agwu, Nwojo N.; Martin, Clyde F. 6 1998 Observability of systems on Lie groups and coset spaces. Zbl 0699.93005 Cheng, D.; Dayawansa, W. P.; Martin, C. F. 6 1990 Global observability of flows on the torus: an application of number theory. Zbl 0631.58023 Drager, Lance; Martin, Clyde 5 1986 On the geometry of the smallest circle enclosing a finite set of points. Zbl 1203.68300 Drager, Lance D.; Lee, Jeffrey M.; Martin, Clyde F. 5 2007 Equivalence of quadratic performance criteria. Zbl 0248.49014 Martin, Clyde 5 1973 Symmetric systems: Structure of the state space. Zbl 0598.93013 Lewis, J.; McCasland, R.; Martin, C. 5 1986 An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004 Martin, C. F.; Allen, L. J. S.; Stamp, M. S. 5 1996 Controllability of linear systems, differential geometry curves in Grassmannians and generalized Grassmannians, and Riccati equations. Zbl 0684.93013 Drager, Lance D.; Foote, Robert L.; Martin, Clyde F.; Wolper, James 4 1989 Optimal smoothing and interpolating splines with constraints. Zbl 1252.65034 Kano, Hiroyuki; Fujioka, Hiroyuki; Martin, Clyde F. 4 2011 Global observability of a class of nonlinear discrete time systems. Zbl 0566.93008 Drager, Lance; Martin, Clyde 4 1985 B-splines and control theory. Zbl 1101.41304 Kano, Hiroyuki; Egerstedt, Magnus; Nakata, Hiroaki; Martin, Clyde F. 4 2003 Asymptotic stabilization of a generic class of three dimensional homogeneous quadratic systems. Zbl 0877.93090 Dayawansa, W. P.; Martin, C. F.; Samelson, S. 4 1995 Observing linear dynamics with polynomial output functions. Zbl 0625.93012 Dayawansa, W.; Martin, C. 3 1987 A remark on a theorem of Andreini, Bacciotti and Stefani. Zbl 0684.93067 Dayawansa, W.; Martin, C. 3 1989 Special structure, decentralization and symmetry for linear systems. Zbl 0532.93015 Hazewinkel, Michiel; Martin, Clyde F. 3 1984 Optimal control and monotone smoothing splines. Zbl 1203.49022 Egerstedt, Magnus; Martin, Clyde 3 2003 Boundary and distributed controllability of the damped wave equation: Reduction of control time. Zbl 0940.93038 Shubov, Marianna A.; Martin, Clyde F. 3 1999 Optimal approximation of functions. Zbl 1038.41004 Zhou, Yishao; Egerstedt, Magnus; Martin, Clyde 3 2001 The autocorrelation structure of Tausworthe pseudorandom number generators. Zbl 0329.65008 Neuman, Frank; Martin, Clyde F. 3 1976 Determination of initial states of parabolic systems from discrete data. Zbl 0713.65075 Gilliam, D. S.; Mair, B. A.; Martin, C. F. 3 1990 Global observability and detectability: An overview. Zbl 0850.93127 Byrnes, C. I.; Martin, C. F. 3 1988 Inverse parabolic problems and discrete orthogonality. Zbl 0741.65096 Gilliam, D. S.; Lund, J. R.; Martin, C. F. 3 1991 A necessary and sufficient condition for the perspective observability problem. Zbl 0877.93009 Dayawansa, W. P.; Ghosh, Bijoy K.; Martin, Clyde; Wang, Xiaochang 3 1995 Monotone smoothing splines using general linear systems. Zbl 1327.93187 Nagahara, Masaaki; Martin, Clyde F. 3 2013 A note on the connection between Bézier curves and linear optimal control. Zbl 1365.49032 Egerstedt, Magnus B.; Martin, Clyde F. 3 2004 Large roots yield large coefficients: An addendum to “The roots of a polynomial vary continuously as a function of the coefficients”. Zbl 0646.30011 Harris, Gary; Martin, Clyde 2 1988 Numerical solution of positive sum exponential equations. Zbl 0685.65047 Martin, C.; Miller, J.; Pearce, K. 2 1989 Periodic smoothing splines. Zbl 1134.65041 Kano, Hiroyuki; Egerstedt, Magnus; Fujioka, Hiroyuki; Takahashi, Satoru; Martin, Clyde 2 2008 Grassmannian manifolds, Riccati equations and feedback invariants of linear systems. Zbl 0477.93030 Martin, Clyde 2 1980 Introduction to geometrical methods for the theory of linear systems. Zbl 0489.93001 Byrnes, C.; Hazewinkel, M.; Martin, C.; Rouchaleau, Y. 2 1980 A regularized solution to the Birkhoff interpolation problem. Zbl 1091.41011 Zhou, Y.; Martin, C. F. 2 2004 Value of information in the Polya urn process. Zbl 1063.91014 Martin, C. F.; Ho, Y. C. 2 2002 Two examples of stabilizable second order systems. Zbl 0703.93056 Dayawansa, W. P.; Martin, C. F. 2 1989 Introduction to differential geometry for engineers. Zbl 0724.53003 Doolin, Brian F.; Martin, Clyde F. 2 1990 Private information structures of A with respect to B. Zbl 0372.93009 Ho, Y. C.; Martin, C. 2 1977 Some properties of mappings induced by Dirichlet polynomials. Zbl 0842.41004 Miller, J.; Martin, C. 2 1994 Stability analysis of linear systems subject to regenerative switchings. Zbl 1305.93201 Ogura, Masaki; Martin, Clyde F. 2 2015 Homogeneous dynamical systems theory. Zbl 1364.93050 Ghosh, Bijoy K.; Martin, Clyde F. 2 2002 Switched linear systems: stability and the convergence of random products. Zbl 1264.93260 Egerstedt, M.; Hanlon, B.; Martin, C.; Wang, N. 2 2011 Normal form representation of control systems. Zbl 1019.93004 Cheng, Daizhan; Martin, Clyde F. 2 2002 Controllability of linear systems, differential geometry of curves in Grassmannians, and Riccati equations. Zbl 0638.93010 Drager, Lance D.; Foote, Robert L.; Martin, Clyde F. 1 1987 Observability and determination of surface temperature. I. Zbl 0669.93018 Gilliam, D. S.; Mair, B. A.; Martin, C. F. 1 1988 Feedback transformations on tori. Zbl 0683.93048 Dayawansa, Wijesuriya; Elliott, David; Martin, Clyde 1 1989 Hilbert space methods for control theoretic splines: a unified treatment. Zbl 1137.93054 Zhou, Y.; Egerstedt, M.; Martin, C. 1 2006 Riccati group invariants of linear Hamiltonian systems. Zbl 0528.93019 Garzia, Mario R.; Loparo, Kenneth A.; Martin, Clyde F. 1 1983 Extreme points of Riccati inequalities. Zbl 0552.15011 Lindquist, Anders; Martin, C.; Picci, Giorgio 1 1984 Cumulative distribution estimation via control theoretic smoothing splines. Zbl 05901740 Charles, Janelle K.; Sun, Shan; Martin, Clyde F. 1 2010 Assessing risk for rare events. Zbl 1028.91554 DeWoody, Yssa; Gururaj, V. T.; Martin, Clyde 1 1999 A control theoretic model of the muscular actions in human head-eye coordination. Zbl 0891.92003 Egerstedt, Magnus; Martin, Clyde 1 1998 A model for the optimal control of a measles epidemic. Zbl 0818.92022 Martin, C.; Allen, L.; Stamp, M.; Jones, M.; Carpio, R. 1 1993 Boundaries of conditional quadratic forms – a comment on “Stabilization via static output feedback”. Zbl 0837.93028 Cheng, D.; Martin, C. F. 1 1995 Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024 Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark 1 1995 An inverse problem of a linear dynamic system with noise. Zbl 0842.93052 Martin, Clyde F.; Li, Zhu 1 1995 Discrete signed mixtures of exponentials. Zbl 0849.62004 Chauveau, D.; Martin, C. F.; van Rooij, A. C. M.; Ruymgaart, F. H. 1 1996 Observability and inverse problems arising in electrocardiography. Zbl 0689.93005 Iakovidis, I.; Martin, C. F.; Xie, S. 1 1989 A forward dynamic model of gait with application to stress analysis of bone. Zbl 0960.92005 DeWoody, Y.; Martin, C. F.; Schovanec, L. 1 2001 Output digitization of simple measure-preserving linear systems. Zbl 1491.93079 DeStefano, A.; Thitsa, M.; Martin, C. 1 2021 A dynamical model of the transport of asbestos fibres in the human body. Zbl 1444.92022 Destefano, Alisa; Martin, Clyde F.; Wallace, Dorothy I. 1 2017 Stability analysis of linear systems subject to regenerative switchings. Zbl 1305.93201 Ogura, Masaki; Martin, Clyde F. 2 2015 A predator-prey interaction from micro to macro perspectives. Zbl 1331.92137 Wang, Huaying; Pang, Yulei; Zhang, Luona; Martin, Clyde F. 1 2015 Stability analysis of positive semi-Markovian jump linear systems with state resets. Zbl 1300.60106 Ogura, Masaki; Martin, Clyde F. 18 2014 A limit formula for joint spectral radius with \(p\)-radius of probability distributions. Zbl 1294.15015 Ogura, M.; Martin, C. F. 1 2014 Generalized joint spectral radius and stability of switching systems. Zbl 1280.93090 Ogura, M.; Martin, C. F. 10 2013 Monotone smoothing splines using general linear systems. Zbl 1327.93187 Nagahara, Masaaki; Martin, Clyde F. 3 2013 Random walk and linear switching systems. Zbl 1308.60055 Pang, Yulei; Wang, Alex; Xue, Xiaozhen; Martin, Clyde F. 1 2012 Optimal smoothing and interpolating splines with constraints. Zbl 1252.65034 Kano, Hiroyuki; Fujioka, Hiroyuki; Martin, Clyde F. 4 2011 Switched linear systems: stability and the convergence of random products. Zbl 1264.93260 Egerstedt, M.; Hanlon, B.; Martin, C.; Wang, N. 2 2011 Stability of switched linear systems with Poisson switching. Zbl 1264.93261 Hanlon, B.; Martin, C.; Tyuryaev, V. 1 2011 Cumulative distribution estimation via control theoretic smoothing splines. Zbl 05901740 Charles, Janelle K.; Sun, Shan; Martin, Clyde F. 1 2010 Control theoretic splines. Optimal control, statistics, and path planning. Zbl 1213.41005 Egerstedt, Magnus; Martin, Clyde 9 2009 Periodic smoothing splines. Zbl 1134.65041 Kano, Hiroyuki; Egerstedt, Magnus; Fujioka, Hiroyuki; Takahashi, Satoru; Martin, Clyde 2 2008 Geometry and control of human eye movements. Zbl 1366.93424 Polpitiya, Ashoka D.; Dayawansa, Wijesuriya P.; Martin, Clyde F.; Ghosh, Bijoy K. 7 2007 On the geometry of the smallest circle enclosing a finite set of points. Zbl 1203.68300 Drager, Lance D.; Lee, Jeffrey M.; Martin, Clyde F. 5 2007 Approximation with the output of linear control systems. Zbl 1153.93401 Jönsson, Ulf; Martin, Clyde 1 2007 The control of error in numerical methods. Zbl 1131.65069 Holder, Daniel; Huo, Lin; Martin, Clyde F. 1 2007 On the smallest enclosing balls. Zbl 1213.90195 Cheng, Daizhan; Hu, Xiaoming; Martin, Clyde 7 2006 Hilbert space methods for control theoretic splines: a unified treatment. Zbl 1137.93054 Zhou, Y.; Egerstedt, M.; Martin, C. 1 2006 Optimal curve fitting and smoothing using normalized uniform B-splines: a tool for studying complex systems. Zbl 1121.65304 Kano, Hiroyuki; Nakata, Hiroaki; Martin, Clyde F. 9 2005 A note on the connection between Bézier curves and linear optimal control. Zbl 1365.49032 Egerstedt, Magnus B.; Martin, Clyde F. 3 2004 A regularized solution to the Birkhoff interpolation problem. Zbl 1091.41011 Zhou, Y.; Martin, C. F. 2 2004 B-splines and control theory. Zbl 1101.41304 Kano, Hiroyuki; Egerstedt, Magnus; Nakata, Hiroaki; Martin, Clyde F. 4 2003 Optimal control and monotone smoothing splines. Zbl 1203.49022 Egerstedt, Magnus; Martin, Clyde 3 2003 Binary bases of spaces of continuous functions. Zbl 1058.41004 Martin, Clyde; Smith, Philip W. 1 2003 Statistical estimates for generalized splines. Zbl 1070.41003 Egerstedt, Magnus; Martin, Clyde 1 2003 Vaccination strategies for epidemics in highly mobile populations. Zbl 1016.92036 Ögren, Petter; Martin, Clyde F. 9 2002 Optimal boundary control of the heat equation with target function at terminal time. Zbl 1040.49037 Ji, Guangcao; Martin, Clyde 7 2002 Value of information in the Polya urn process. Zbl 1063.91014 Martin, C. F.; Ho, Y. C. 2 2002 Homogeneous dynamical systems theory. Zbl 1364.93050 Ghosh, Bijoy K.; Martin, Clyde F. 2 2002 Normal form representation of control systems. Zbl 1019.93004 Cheng, Daizhan; Martin, Clyde F. 2 2002 Stabilization of nonlinear systems via designed center manifold. Zbl 1012.93052 Cheng, Daizhan; Martin, Clyde 12 2001 Optimal trajectory planning and smoothing splines. Zbl 0989.93038 Egerstedt, Magnus; Martin, Clyde F. 10 2001 Optimal control, statistics and path planning. Zbl 0976.65057 Martin, C. F.; Sun, Shan; Egerstedt, M. 9 2001 Optimal approximation of functions. Zbl 1038.41004 Zhou, Yishao; Egerstedt, Magnus; Martin, Clyde 3 2001 A forward dynamic model of gait with application to stress analysis of bone. Zbl 0960.92005 DeWoody, Y.; Martin, C. F.; Schovanec, L. 1 2001 Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load. Zbl 1068.74026 Shubov, Marianna A.; Belinskiy, Boris P.; Martin, Clyde F. 1 2001 Control theoretic smoothing splines. Zbl 0971.49022 Sun, Shan; Egerstedt, Magnus B.; Martin, Clyde F. 20 2000 A converse Lyapunov theorem for a class of dynamical systems which undergo switching. Zbl 0960.93046 Dayawansa, Wijesuriya P.; Martin, C. F. 145 1999 Boundary and distributed controllability of the damped wave equation: Reduction of control time. Zbl 0940.93038 Shubov, Marianna A.; Martin, Clyde F. 3 1999 Assessing risk for rare events. Zbl 1028.91554 DeWoody, Yssa; Gururaj, V. T.; Martin, Clyde 1 1999 On controllability of an elastic string with a viscous damping. Zbl 0910.35073 Belinskiy, B. P.; Dauer, J. P.; Martin, C.; Shubov, M. A. 9 1998 Input recovery from noisy output data, using regularized inversion of the Laplace transform. Zbl 0962.65053 Dey, Aswini K.; Martin, Clyde F.; Ruymgaart, Frits H. 6 1998 Optimal control of dynamic systems: application to spline approximations. Zbl 0944.41006 Agwu, Nwojo N.; Martin, Clyde F. 6 1998 A control theoretic model of the muscular actions in human head-eye coordination. Zbl 0891.92003 Egerstedt, Magnus; Martin, Clyde 1 1998 Exact controllability of the damped wave equation. Zbl 0889.35057 Shubov, Marianna A.; Martin, Clyde F.; Dauer, Jerald P.; Belinskiy, Boris P. 17 1997 Convergence and Gibbs’ phenomenon in the cubic spline interpolation of discontinuous functions. Zbl 0898.41007 Zhang, Zhimin; Martin, Clyde F. 11 1997 Splines and linear control theory. Zbl 0892.41008 Zhang, Zhimin; Tomlinson, John; Martin, Clyde 10 1997 An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004 Martin, C. F.; Allen, L. J. S.; Stamp, M. S. 5 1996 Discrete signed mixtures of exponentials. Zbl 0849.62004 Chauveau, D.; Martin, C. F.; van Rooij, A. C. M.; Ruymgaart, F. H. 1 1996 Gaussian quadrature for products of exponential functions. Zbl 0865.41034 Cordero, M.; Martin, C.; Miller, J. 1 1996 An integral-invariance principle for nonlinear systems. Zbl 0831.93058 Byrnes, Christopher I.; Martin, Clyde F. 15 1995 Asymptotic stabilization of a generic class of three dimensional homogeneous quadratic systems. Zbl 0877.93090 Dayawansa, W. P.; Martin, C. F.; Samelson, S. 4 1995 A necessary and sufficient condition for the perspective observability problem. Zbl 0877.93009 Dayawansa, W. P.; Ghosh, Bijoy K.; Martin, Clyde; Wang, Xiaochang 3 1995 Boundaries of conditional quadratic forms – a comment on “Stabilization via static output feedback”. Zbl 0837.93028 Cheng, D.; Martin, C. F. 1 1995 Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024 Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark 1 1995 An inverse problem of a linear dynamic system with noise. Zbl 0842.93052 Martin, Clyde F.; Li, Zhu 1 1995 Some properties of mappings induced by Dirichlet polynomials. Zbl 0842.41004 Miller, J.; Martin, C. 2 1994 An algorithm for the \(k\)-error linear complexity of binary sequences with period \(2^ n\). Zbl 0801.94009 Stamp, Mark; Martin, Clyde F. 48 1993 A model for the optimal control of a measles epidemic. Zbl 0818.92022 Martin, C.; Allen, L.; Stamp, M.; Jones, M.; Carpio, R. 1 1993 Probability measures, Appell polynomials and polynomial approximation. Zbl 0763.41005 Martin, Clyde; Shubov, Victor 1 1993 Natural exponential families of probability distributions and exponential-polynomial approximation. Zbl 0797.41008 Martin, Clyde; Shubov, Victor 1 1993 A note on the error in Gaussian quadrature. Zbl 0759.41029 Martin, Clyde; Stamp, Mark 1 1992 Gaussian quadrature for trigonometric polynomials: An example from observability. Zbl 0760.41018 Gilliam, David; Martin, Clyde F.; Lund, John 1 1992 Decentralized-feedback pole placement of linear systems. Zbl 0748.93035 Wang, X.; Martin, C. F.; Gilliam, D.; Byrnes, C. I. 1 1992 The Riccati equation. Zbl 0734.34004 97 1991 A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023 Allen, L. J. S.; Jones, M. A.; Martin, C. F. 13 1991 Exponential interpolation: Theory and numerical algorithms. Zbl 0716.65001 Ammar, G.; Dayawansa, W.; Martin, C. 10 1991 Asymptotic stabilization of low dimensional systems. Zbl 0738.93065 Dayawansa, W. P.; Martin, C. F. 7 1991 Inverse parabolic problems and discrete orthogonality. Zbl 0741.65096 Gilliam, D. S.; Lund, J. R.; Martin, C. F. 3 1991 On the global tracking problem for nonlinear systems. Zbl 0736.93031 Dayawansa, W. P.; Martin, C. F.; Knowles, G. 1 1991 Observing the heat equation on a torus along a dense geodesic. Zbl 0753.35038 Drager, Lance D.; Foote, Robert L.; Martin, Clyde F. 1 1991 A model study of instability of the inverse problem in electrocardiography. Zbl 0817.92007 Iakovidis, Ilias; Martin, Clyde F. 1 1991 Asymptotic stabilization of a class of smooth two-dimensional systems. Zbl 0731.93076 Dayawansa, W. P.; Martin, C. F.; Knowles, G. 34 1990 Observability of systems on Lie groups and coset spaces. Zbl 0699.93005 Cheng, D.; Dayawansa, W. P.; Martin, C. F. 6 1990 Determination of initial states of parabolic systems from discrete data. Zbl 0713.65075 Gilliam, D. S.; Mair, B. A.; Martin, C. F. 3 1990 Introduction to differential geometry for engineers. Zbl 0724.53003 Doolin, Brian F.; Martin, Clyde F. 2 1990 System identification and exponential interpolation. Zbl 0699.93014 Ammar, G.; Dayawansa, W.; Martin, C. 1 1990 A mathematical analysis and simulation of a localized measles epidemic. Zbl 0701.92018 Allen, Linda; Lewis, Truman; Martin, Clyde F.; Stamp, Mark 1 1990 Global controllability of reduced input nonlinear systems. Zbl 0719.93037 Cheng, D.; Dayawansa, W.; Martin, C. 1 1990 Discrete observability of linear parabolic systems. Zbl 0722.93033 Gilliam, D. S.; Mair, B. A.; Martin, C. F. 1 1990 Observability of the electropotential on a nested cylindrical domain. I: The continuous solution. Zbl 0731.92012 Martin, Clyde; Xie, Shishen 1 1990 Identification of linear systems by Prony’s method. Zbl 0735.93015 Ammar, G.; Cheng, D.; Dayawansa, W.; Martin, C. 1 1990 Visiting scholars’ lectures - 1989, Texas Tech University, Lubbock, TX (USA). Zbl 0695.00001 1 1990 Asymptotic stabilization of two dimensional real analytic systems. Zbl 0673.93064 Dayawansa, W. P.; Martin, C. F. 23 1989 A discrete sampling inversion scheme for the heat equation. Zbl 0646.65085 Gilliam, David S.; Lund, John R.; Martin, Clyde F. 6 1989 Parameter identification by continuation methods. Zbl 0685.65046 Martin, C.; Miller, J.; Pearce, K. 6 1989 Controllability of linear systems, differential geometry curves in Grassmannians and generalized Grassmannians, and Riccati equations. Zbl 0684.93013 Drager, Lance D.; Foote, Robert L.; Martin, Clyde F.; Wolper, James 4 1989 A remark on a theorem of Andreini, Bacciotti and Stefani. Zbl 0684.93067 Dayawansa, W.; Martin, C. 3 1989 Numerical solution of positive sum exponential equations. Zbl 0685.65047 Martin, C.; Miller, J.; Pearce, K. 2 1989 Two examples of stabilizable second order systems. Zbl 0703.93056 Dayawansa, W. P.; Martin, C. F. 2 1989 Feedback transformations on tori. Zbl 0683.93048 Dayawansa, Wijesuriya; Elliott, David; Martin, Clyde 1 1989 Observability and inverse problems arising in electrocardiography. Zbl 0689.93005 Iakovidis, I.; Martin, C. F.; Xie, S. 1 1989 Disturbance decoupling, (f,g)-invariant and controllability subspaces of a class of homogeneous polynomial systems. Zbl 0702.93037 Dayawansa, Wijesuriya P.; Martin, Clyde F. 1 1989 Discrete observability of the heat equation on bounded domains. Zbl 0654.93008 Gilliam, David; Li, Zhu; Martin, Clyde 8 1988 Global observability and detectability: An overview. Zbl 0850.93127 Byrnes, C. I.; Martin, C. F. 3 1988 Large roots yield large coefficients: An addendum to “The roots of a polynomial vary continuously as a function of the coefficients”. Zbl 0646.30011 Harris, Gary; Martin, Clyde 2 1988 Observability and determination of surface temperature. I. Zbl 0669.93018 Gilliam, D. S.; Mair, B. A.; Martin, C. F. 1 1988 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,108 Authors 53 Martin, Clyde Franklin 16 Cheng, Daizhan 8 Karcanias, Nicos 8 Lin, Wei 8 Qian, Chunjiang 8 Schumacher, Johannes M. 7 Belinsky, Boris P. 7 Ogura, Masaki 7 Shubov, Marianna A. 7 Wang, Long 7 Zhao, Jun 6 Bacciotti, Andrea 6 Byrnes, Christopher Ian 6 Chen, Zhixiong 6 Dayawansa, Wijesuriya P. 6 Gilliam, David S. 6 Helmke, Uwe R. 6 Hermann, Robert 6 Meidl, Wilfried 6 Tsinias, John 6 Xie, Guangming 6 Zhou, Jianqin 5 Allen, Linda J. S. 5 Alpay, Daniel Aron 5 Colombo, Fabrizio 5 Egerstedt, Magnus B. 5 Ghosh, Bijoy Kumar 5 Iggidr, Abderrahman 5 Kano, Hiroyuki 5 Liu, Wanquan 5 Nam, Nguyen Mau 5 Pillonetto, Gianluigi 5 Qi, Wenfeng 5 Rosenthal, Joachim 5 Sabadini, Irene 5 Sun, Yuangong 4 Cheng, Chun-Ming 4 Chiou, Juing-Shian 4 Giannakopoulos, Christos 4 Guo, Rongwei 4 Hermes, Henry 4 Hinrichsen, Diederich 4 Hu, Xiaoming 4 Liu, Xinzhi 4 Niederreiter, Harald 4 Outbib, Rachid 4 Shayman, Mark A. 4 Shorten, Robert N. 4 Sigalotti, Mario 4 Sontag, Eduardo D. 4 Sun, Zhendong 4 Tan, Lin 4 Wang, Xiaochang Alex 4 Wang, Xifeng 4 Willems, Jan Camiel 4 Wu, Chenhuang 4 Zhang, Lijun 3 Alwan, Mohamad S. 3 Amat Plata, Sergio 3 An, Nguyen Thai 3 Antsaklis, Panos J. 3 Balde, Moussa 3 Cevik, M. K. K. 3 Coron, Jean-Michel 3 Daafouz, Jamal 3 Della Rossa, Matteo 3 DeStefano, Alisa 3 Drager, Lance D. 3 Fujioka, Hiroyuki 3 Ge, Shuzhi Sam 3 Gumel, Abba B. 3 Hafstein, Sigurður Freyr 3 Hazewinkel, Michiel 3 Jungers, Raphaël M. 3 Kavuluru, Ramakanth 3 Ke, Pinhui 3 Kermani, Marwen 3 Konstantinov, Mikhail Mikhajlov 3 Lee, Tong Heng 3 Leventides, John 3 Li, Zhaoyan 3 Lin, Hai 3 Liu, Jiamin 3 Logemann, Hartmut 3 Lomadze, Vakhtang 3 Manthey, Wilfried 3 Margaliot, Michael 3 Mason, Paolo 3 Mazzi, Luisa 3 Petkov, Petko Hr. 3 Praly, Laurent 3 Preciado, Victor M. 3 Rodman, Leiba X. 3 Ryan, Eugene P. 3 Sakly, Anis 3 Sallet, Gauthier 3 Sharomi, Oluwaseun Y. 3 Tanwani, Aneel 3 Teo, Kok Lay 3 Tong, Yanhui ...and 1,008 more Authors all top 5 Cited in 198 Serials 83 Systems & Control Letters 50 Automatica 48 International Journal of Control 36 Linear Algebra and its Applications 30 Applied Mathematics and Computation 20 Nonlinear Analysis. 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The Electronic Journal of Linear Algebra 2 Journal of Nonparametric Statistics 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Differential Equations 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Advances in Mathematics of Communications 2 International Journal of Biomathematics 1 Acta Mechanica 1 Advances in Applied Probability 1 Computer Methods in Applied Mechanics and Engineering 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT ...and 98 more Serials all top 5 Cited in 55 Fields 411 Systems theory; control (93-XX) 83 Numerical analysis (65-XX) 70 Ordinary differential equations (34-XX) 51 Information and communication theory, circuits (94-XX) 46 Partial differential equations (35-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 42 Biology and other natural sciences (92-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Operations research, mathematical programming (90-XX) 30 Probability theory and stochastic processes (60-XX) 29 Number theory (11-XX) 25 Approximations and expansions (41-XX) 25 Computer science (68-XX) 24 Algebraic geometry (14-XX) 19 Statistics (62-XX) 18 Operator theory (47-XX) 17 Mechanics of particles and systems (70-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Functions of a complex variable (30-XX) 11 Differential geometry (53-XX) 10 Combinatorics (05-XX) 10 Topological groups, Lie groups (22-XX) 9 Real functions (26-XX) 9 Functional analysis (46-XX) 8 Difference and functional equations (39-XX) 8 Mechanics of deformable solids (74-XX) 7 Nonassociative rings and algebras (17-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Associative rings and algebras (16-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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