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Martin, Clyde Franklin

Author ID: martin.clyde-f Recent zbMATH articles by "Martin, Clyde Franklin"
Published as: Martin, Clyde F.; Martin, Clyde; Martin, C. F.; Martin, C.
External Links: MGP · Wikidata · ResearchGate · dblp · GND
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
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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

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 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. Hybrid Systems
14 Journal of the Franklin Institute
14 International Journal of Robust and Nonlinear Control
13 Acta Applicandae Mathematicae
12 Journal of Mathematical Analysis and Applications
12 MCSS. Mathematics of Control, Signals, and Systems
9 Kybernetika
9 Mathematical Systems Theory
9 European Journal of Control
7 Mathematical Biosciences
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Designs, Codes and Cryptography
7 Applied Mathematical Modelling
7 Journal of Control Theory and Applications
7 Asian Journal of Control
6 Applicable Analysis
6 International Journal of Systems Science
6 Journal of Mathematical Physics
6 Journal of Computational and Applied Mathematics
6 Journal of Mathematical Sciences (New York)
5 Mathematical Problems in Engineering
4 Advances in Mathematics
4 Journal of Differential Equations
4 SIAM Journal on Control and Optimization
4 Transactions of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Applicable Algebra in Engineering, Communication and Computing
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Nonlinear Dynamics
4 Abstract and Applied Analysis
4 Wuhan University Journal of Natural Sciences (WUJNS)
4 Journal of Systems Science and Complexity
4 Control Theory and Technology
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Discrete Mathematics
3 Mathematical Methods in the Applied Sciences
3 Physica A
3 Chaos, Solitons and Fractals
3 Journal of Optimization Theory and Applications
3 Numerische Mathematik
3 Optimal Control Applications & Methods
3 Journal of Complexity
3 European Journal of Operational Research
3 Discrete Dynamics in Nature and Society
3 Nonlinear Analysis. Real World Applications
3 Science in China. Series F
3 Cryptography and Communications
3 Nonlinear Analysis. Theory, Methods & Applications
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Journal of Mathematical Biology
2 Nonlinearity
2 Integral Equations and Operator Theory
2 Journal of Algebra
2 Journal of Statistical Planning and Inference
2 Results in Mathematics
2 SIAM Journal on Numerical Analysis
2 Topology and its Applications
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 International Journal of Foundations of Computer Science
2 The Journal of Geometric Analysis
2 Numerical Algorithms
2 Journal of Dynamics and Differential Equations
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Experimental Mathematics
2 Finite Fields and their Applications
2 ELA. 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
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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

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