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Vinter, Richard B.

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Author ID: vinter.richard-b Recent zbMATH articles by "Vinter, Richard B."
Published as: Vinter, R. B.; Vinter, Richard B.; Vinter, Richard; Vinter, R.; Vinter, Richard B
Documents Indexed: 139 Publications since 1974, including 5 Books
Biographic References: 1 Publication
all top 5

Serials

35 SIAM Journal on Control and Optimization
12 Journal of Mathematical Analysis and Applications
9 IEEE Transactions on Automatic Control
8 Journal of Optimization Theory and Applications
6 Systems & Control Letters
6 IMA Journal of Mathematical Control and Information
4 Applied Mathematics and Optimization
3 Journal of the Institute of Mathematics and its Applications
3 Control and Cybernetics
3 Journal of Differential Equations
3 Transactions of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 MCSS. Mathematics of Control, Signals, and Systems
2 Set-Valued Analysis
2 Discrete and Continuous Dynamical Systems
2 Journal of Dynamical and Control Systems
1 International Journal of Control
1 Automatica
1 Proceedings of the London Mathematical Society. Third Series
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 IEEE Transactions on Signal Processing
1 Journal of Global Optimization
1 Matemática Aplicada e Computacional
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Mathematical Programming. Series A. Series B
1 Journal of Convex Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Differential Equations
1 Stochastics
1 SIAM Journal on Control
1 Monographs on Statistics and Applied Probability
1 Proceedings of the Steklov Institute of Mathematics
1 Systems & Control: Foundations & Applications
1 Mathematical Control and Related Fields
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 1,335 times in 851 Documents Cited by Year
Optimal control. Zbl 0952.49001
Vinter, Richard
110
2000
Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. Zbl 1050.49022
Frankowska, H.; Vinter, R. B.
73
2000
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
63
1985
The infinite time quadratic control problem for linear systems with state and control delays: an evolution equation approach. Zbl 0465.93043
Vinter, R. B.; Kwong, R. H.
58
1981
Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints. Zbl 0967.49017
Vinter, R. B.; Zheng, H.
51
2000
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
38
1987
Measure driven differential inclusions. Zbl 0877.49004
Silva, G. N.; Vinter, R. B.
37
1996
Necessary conditions for optimal impulsive control problems. Zbl 0886.49028
Silva, G. N.; Vinter, R. B.
36
1997
A maximum principle for optimal processes with discontinuous trajectories. Zbl 0647.49013
Vinter, R. B.; Pereira, F. M. F. L.
34
1988
Stochastic modelling and control. Zbl 0654.93001
Davis, M. H. A.; Vinter, R. B.
31
1985
Optimal control. Reprint of the 2000 ed. Zbl 1215.49002
Vinter, Richard
30
2010
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
26
1989
Necessary conditions for optimal control problems involving nonlinear differential algebraic equations. Zbl 0891.49013
de Pinho, Maria do Rosário; Vinter, R. B.
23
1997
When is the maximum principle for state constrained problems nondegenerate? Zbl 0823.49003
Ferreira, M. M. A.; Vinter, R. B.
23
1994
Convex duality and nonlinear optimal control. Zbl 0781.49012
Vinter, Richard
23
1993
A simple ‘finite approximations’ proof of the Pontryagin maximum principle under reduced differentiability hypotheses. Zbl 1046.49014
Arutyunov, Aram V.; Vinter, Richard B.
22
2004
Lipschitz continuity of optimal controls for state constrained problems. Zbl 1048.49026
Galbraith, Grant N.; Vinter, Richard B.
21
2003
A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control. Zbl 1050.49002
Rampazzo, F.; Vinter, R. B.
19
1999
Continuous dependence of solutions of a differential inclusion on the right hand side with applications to stability of optimal control problems. Zbl 0442.49025
Stassinopoulos, G. I.; Vinter, R. B.
19
1979
\(L^{\infty }\) estimates on trajectories confined to a closed subset. Zbl 1237.34022
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
19
2012
A maximum principle for nonsmooth optimal-control problems with state constraints. Zbl 0519.49011
Vinter, R. B.; Pappas, G.
19
1982
Local optimality conditions and Lipschitzian solutions to the Hamilton- Jacobi equation. Zbl 0528.49019
Clarke, Frank H.; Vinter, Richard B.
19
1983
Necessary conditions for optimal control problems with state constraints. Zbl 0892.49012
Vinter, R. B.; Zheng, H.
18
1998
Degenerate optimal control problems with state constraints. Zbl 0987.49013
Rampazzo, Franco; Vinter, Richard
17
2000
On the conditions under which the Euler equation or the maximum principle hold. Zbl 0559.49012
Clarke, Frank H.; Vinter, R. B.
17
1984
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
17
1989
On trajectories satisfying a state constraint: \(W^{1,1}\) estimates and counterexamples. Zbl 1217.34025
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard
17
2010
New results on the relationship between dynamic programming and the maximum principle. Zbl 0656.49008
Vinter, R. B.
16
1988
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
16
1985
An Euler-Lagrange inclusion for optimal control problems. Zbl 0827.49014
de Pinho, Maria do Rosário; Vinter, Richard B.
15
1995
The extended Euler-Lagrange condition for nonconvex variational problems. Zbl 0870.49014
Vinter, Richard; Zheng, Harry
15
1997
Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints. Zbl 0931.49015
Ferreira, M. M. A.; Fontes, F. A. C. C.; Vinter, R. B.
15
1999
On the evolution of the state of linear differential delay equations in \(M^2\): properties of the generator. Zbl 0375.34040
Vinter, R. B.
13
1978
Hamilton-Jacobi theory for optimal control problems with data measurable in time. Zbl 0721.49029
Vinter, R. B.; Wolenski, P.
13
1990
A characterization of the reachable set for nonlinear control systems. Zbl 0457.93013
Vinter, Richard
12
1980
Minimax optimal control. Zbl 1087.49015
Vinter, R. B.
12
2005
Feasible direction algorithm for optimal control problems with state and control constraints: Implementation. Zbl 0956.90061
Pytlak, R.; Vinter, R. B.
11
1999
A necessary and sufficient condition for optimality of dynamic programming type, making no a priori assumptions on the controls. Zbl 0392.49011
Vinter, Richard B.; Lewis, Richard M.
11
1978
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
11
2015
Construction of optimal feedback controls. Zbl 0736.49020
Rowland, J. D. L.; Vinter, R. B.
11
1991
Relaxation procedures for time delay systems. Zbl 0761.49005
Rosenblueth, Javier F.; Vinter, Richard B.
11
1991
Sensitivity interpretations of the costate variable for optimal control problems with state constraints. Zbl 1202.49020
Bettiol, Piernicola; Vinter, Richard B.
11
2010
The equivalence of strong and weak formulations for certain problems in optimal control. Zbl 0396.49011
Vinter, Richard B.; Lewis, Richard M.
10
1978
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
10
1986
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
10
1990
A feasible directions algorithm for optimal control problems with state and control constraints: Convergence analysis. Zbl 0921.49021
Pytlak, R.; Vinter, R. B.
8
1998
A maximum principle for optimal control problems with mixed constraints. Zbl 1103.49307
de Pinho, M. d. R.; Vinter, R. B.; Zheng, H.
8
2001
Filter stability for stochastic evolution equations. Zbl 0352.35080
Vinter, Richard B.
8
1977
Estimates for trajectories confined to a cone in \(\mathbb {R}^{n}\). Zbl 1231.34024
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard B.
8
2011
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
8
1988
Characterization of the solution to a constrained \(H_{\infty}\) optimal control problem. Zbl 1124.49022
Mayne, D. Q.; Raković, S. V.; Vinter, R. B.; Kerrigan, E. C.
8
2006
Optimal control problems on manifolds: A dynamic programming approach. Zbl 1029.49025
Chryssochoos, I.; Vinter, R. B.
7
2003
Pontryagin-type necessary conditions for differential inclusion problems. Zbl 0639.49017
Loewen, Philip D.; Vinter, Richard B.
7
1987
Normality and gap phenomena in optimal unbounded control. Zbl 1439.49061
Motta, Monica; Rampazzo, Franco; Vinter, Richard
7
2018
Stratified necessary conditions for differential inclusions with state constraints. Zbl 1279.49013
Bettiol, Piernicola; Boccia, Andrea; Vinter, Richard B.
6
2013
New global optimality conditions in optimal control theory. Zbl 0507.49017
Vinter, R. B.
6
1983
Second order conditions for periodic optimal control problems. Zbl 1167.49310
Allwright, John; Vinter, Richard
6
2005
Regularity of the Hamiltonian along optimal trajectories. Zbl 1321.49063
Palladino, M.; Vinter, R. B.
6
2015
Minimizers that are not also relaxed minimizers. Zbl 1307.49016
Palladino, M.; Vinter, R. B.
6
2014
Dualization of the Euler and Hamiltonian inclusions. Zbl 1004.49016
Bessis, D. N.; Ledyaev, Yu. S.; Vinter, R. B.
5
2001
Invariance properties of time measurable differential inclusions and dynamic programming. Zbl 0943.34011
Rapaport, A. E.; Vinter, R. B.
5
1996
Optimality and sensitivity of discrete time processes. Zbl 0671.49028
Vinter, R. B.
5
1988
Linear filtering for time-delay systems. Zbl 0678.93061
Briggs, Monima; Vinter, Richard
5
1989
Filtering for linear stochastic hereditary differential systems. Zbl 0321.93052
Mitter, Sanjoy K.; Vinter, Richard B.
5
1975
When are minimizing controls also minimizing relaxed controls? Zbl 1367.49008
Palladino, Michele; Vinter, Richard B.
5
2015
Normality of generalized Euler-Lagrange conditions for state constrained optimal control problems. Zbl 1346.49031
Bettiol, Piernicola; Khalil, Nathalie; Vinter, Richard B.
5
2016
Existence of optimal controls for continuous time infinite horizon problems. Zbl 0883.49005
Bell, M. L.; Sargent, R. W. H.; Vinter, R. B.
4
1997
Nonlinear stabilization using discontinuous moving-horizon control. Zbl 0812.93058
Michalska, H.; Vinter, R. B.
4
1994
Optimal control of nonsymmetric hyperbolic systems in n variables on the half-space. Zbl 0355.49018
Vinter, Richard B.; Johnson, Timothy L.
4
1977
Relaxation of optimal control problems to equivalent convex programs. Zbl 0443.49015
Lewis, R. M.; Vinter, R. B.
4
1980
Regularity properties of optimal controls for problems with time-varying state and control constraints. Zbl 1093.49024
Shvartsman, Ilya A.; Vinter, Richard B.
4
2006
Dynamic optimization problems with free-time and active state constraints. Zbl 0779.49028
Rowland, J. D. L.; Vinter, R. B.
4
1993
Application of duality theory to a class of composite cost control problems. Zbl 0259.49022
Vinter, R. B.
4
1974
Trajectories satisfying a state constraint: improved estimates and new non-degeneracy conditions. Zbl 1368.49019
Bettiol, Piernicola; Vinter, Richard
4
2011
On the occurrence of intermediate local minimizers that are not strong local minimizers. Zbl 0897.49012
Vinter, Richard B.; Woodford, Patrick D.
3
1997
Duality theorems for convex problems with time delay. Zbl 0842.49025
Tsoutsinos, G. I.; Vinter, R. B.
3
1995
A verification theorem which provides a necessary and sufficient condition for optimality. Zbl 0431.49032
Vinter, R. B.; Lewis, R. M.
3
1980
Stochastic exit time problems arising in process control. Zbl 1252.93131
Clark, J. M. C.; Vinter, R. B.
3
2012
Pontryagin type conditions for differential inclusions with free time. Zbl 0761.49013
Rowland, J. D. L.; Vinter, R. B.
3
1992
Optimal control of hybrid systems with an infinite set of discrete states. Zbl 1026.49021
Galbraith, Grant N.; Vinter, Richard B.
3
2003
Multifunctions of bounded variation. Zbl 1334.26016
Vinter, R. B.
3
2016
Decomposition of differential games with multiple targets. Zbl 1342.49058
Festa, Adriano; Vinter, Richard B.
3
2016
The Hamiltonian inclusion for nonconvex velocity sets. Zbl 1304.49045
Vinter, Richard B.
3
2014
Optimal control problems with mixed and pure state constraints. Zbl 1354.49045
Boccia, A.; de Pinho, M. D. R.; Vinter, R. B.
3
2016
Some finance problems solved with nonsmooth optimization techniques. Zbl 1073.91042
Vinter, R. B.; Zheng, H.
2
2003
New representation theorems for consistent flows. Zbl 0387.76005
Lewis, R. M.; Vinter, R. B.
2
1980
Semigroups on product spaces with application to initial value problems with non-local boundary conditions. Zbl 0402.34003
Vinter, R. B.
2
1978
On connections between the maximum principle and the dynamic programming technique. Zbl 0602.49019
Clarke, F. H.; Vinter, R.
2
1986
Weakest conditions for existence of Lipschitz continuous Krotov functions in optimal control theory. Zbl 0507.49016
Vinter, R. B.
2
1983
The equivalence of ”strong calmness” and ”calmness” in optimal control theory. Zbl 0528.49018
Vinter, R. B.
2
1983
Estimates on trajectories in a closed set with corners for \((t, x)\) dependent data. Zbl 1272.93062
Bettiol, Piernicola; Vinter, Richard B.
2
2013
Differential games controllers that confine a system to a safe region in the state space, with applications to surge tank control. Zbl 1369.49051
Falugi, Paola; Kountouriotis, Panagiotis-Aristidis; Vinter, Richard B.
2
2012
The maximum principle for optimal control problems with time delays. Zbl 1375.49031
Boccia, A.; Vinter, R. B.
2
2017
Second order sufficient conditions for optimal control problems with non-unique minimizers: an abstract framework. Zbl 1304.49041
Gavriel, C.; Vinter, R. B.
2
2014
Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints. Zbl 1377.49002
Hermosilla, Cristopher; Vinter, Richard; Zidani, Hasnaa
1
2017
Regularity properties of solutions to linear quadratic optimal control problems with state constraints. Zbl 0899.49017
Clarke, F. H.; Ledyaev, Y.; Vinter, R. B.
1
1997
Dynamic programming for free-time problems with endpoint constraints. Zbl 0793.49010
Kotsiopoulos, J.; Vinter, R. B.
1
1993
Uniqueness of solutions to the Hamilton-Jacobi equation: A system theoretic proof. Zbl 0874.49024
Vinter, Richard
1
1994
A finite-dimensional approximation method in optimal control theory. Zbl 1083.49015
Arutyunov, A. V.; Vinter, R. B.
1
2003
Stabilizability and semigroups with discrete generators. Zbl 0366.47020
Vinter, R. B.
1
1977
Free end-time optimal control problems: conditions for the absence of an infimum gap. Zbl 1427.49021
Vinter, Richard B.
1
2019
Normality and gap phenomena in optimal unbounded control. Zbl 1439.49061
Motta, Monica; Rampazzo, Franco; Vinter, Richard
7
2018
\(L^{\infty }\) estimates on trajectories confined to a closed subset, for control systems with bounded time variation. Zbl 1387.34031
Bettiol, Piernicola; Vinter, Richard B.
1
2018
State constrained optimal control problems with time delays. Zbl 1376.49027
Vinter, R. B.
1
2018
The maximum principle for optimal control problems with time delays. Zbl 1375.49031
Boccia, A.; Vinter, R. B.
2
2017
Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints. Zbl 1377.49002
Hermosilla, Cristopher; Vinter, Richard; Zidani, Hasnaa
1
2017
The Hamilton Jacobi equation for optimal control problems with discontinuous time dependence. Zbl 1366.49003
Bettiol, Piernicola; Vinter, Richard B.
1
2017
Normality of generalized Euler-Lagrange conditions for state constrained optimal control problems. Zbl 1346.49031
Bettiol, Piernicola; Khalil, Nathalie; Vinter, Richard B.
5
2016
Multifunctions of bounded variation. Zbl 1334.26016
Vinter, R. B.
3
2016
Decomposition of differential games with multiple targets. Zbl 1342.49058
Festa, Adriano; Vinter, Richard B.
3
2016
Optimal control problems with mixed and pure state constraints. Zbl 1354.49045
Boccia, A.; de Pinho, M. D. R.; Vinter, R. B.
3
2016
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
11
2015
Regularity of the Hamiltonian along optimal trajectories. Zbl 1321.49063
Palladino, M.; Vinter, R. B.
6
2015
When are minimizing controls also minimizing relaxed controls? Zbl 1367.49008
Palladino, Michele; Vinter, Richard B.
5
2015
Minimizers that are not also relaxed minimizers. Zbl 1307.49016
Palladino, M.; Vinter, R. B.
6
2014
The Hamiltonian inclusion for nonconvex velocity sets. Zbl 1304.49045
Vinter, Richard B.
3
2014
Second order sufficient conditions for optimal control problems with non-unique minimizers: an abstract framework. Zbl 1304.49041
Gavriel, C.; Vinter, R. B.
2
2014
Stratified necessary conditions for differential inclusions with state constraints. Zbl 1279.49013
Bettiol, Piernicola; Boccia, Andrea; Vinter, Richard B.
6
2013
Estimates on trajectories in a closed set with corners for \((t, x)\) dependent data. Zbl 1272.93062
Bettiol, Piernicola; Vinter, Richard B.
2
2013
\(L^{\infty }\) estimates on trajectories confined to a closed subset. Zbl 1237.34022
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
19
2012
Stochastic exit time problems arising in process control. Zbl 1252.93131
Clark, J. M. C.; Vinter, R. B.
3
2012
Differential games controllers that confine a system to a safe region in the state space, with applications to surge tank control. Zbl 1369.49051
Falugi, Paola; Kountouriotis, Panagiotis-Aristidis; Vinter, Richard B.
2
2012
Estimates for trajectories confined to a cone in \(\mathbb {R}^{n}\). Zbl 1231.34024
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard B.
8
2011
Trajectories satisfying a state constraint: improved estimates and new non-degeneracy conditions. Zbl 1368.49019
Bettiol, Piernicola; Vinter, Richard
4
2011
Optimal control. Reprint of the 2000 ed. Zbl 1215.49002
Vinter, Richard
30
2010
On trajectories satisfying a state constraint: \(W^{1,1}\) estimates and counterexamples. Zbl 1217.34025
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard
17
2010
Sensitivity interpretations of the costate variable for optimal control problems with state constraints. Zbl 1202.49020
Bettiol, Piernicola; Vinter, Richard B.
11
2010
Stability analysis of sliding-mode feedback control. Zbl 1236.93130
Vinter, R.; Clarke, F.
1
2009
Characterization of the solution to a constrained \(H_{\infty}\) optimal control problem. Zbl 1124.49022
Mayne, D. Q.; Raković, S. V.; Vinter, R. B.; Kerrigan, E. C.
8
2006
Regularity properties of optimal controls for problems with time-varying state and control constraints. Zbl 1093.49024
Shvartsman, Ilya A.; Vinter, Richard B.
4
2006
Minimax optimal control. Zbl 1087.49015
Vinter, R. B.
12
2005
Second order conditions for periodic optimal control problems. Zbl 1167.49310
Allwright, John; Vinter, Richard
6
2005
A simple ‘finite approximations’ proof of the Pontryagin maximum principle under reduced differentiability hypotheses. Zbl 1046.49014
Arutyunov, Aram V.; Vinter, Richard B.
22
2004
Regularity of optimal controls for state constrained problems. Zbl 1094.49026
Galbraith, Grant N.; Vinter, Richard B.
1
2004
The application of dynamic programming to optimal inventory control. Zbl 1365.90012
Berovic, Daniel P.; Vinter, Richard B.
1
2004
Lipschitz continuity of optimal controls for state constrained problems. Zbl 1048.49026
Galbraith, Grant N.; Vinter, Richard B.
21
2003
Optimal control problems on manifolds: A dynamic programming approach. Zbl 1029.49025
Chryssochoos, I.; Vinter, R. B.
7
2003
Optimal control of hybrid systems with an infinite set of discrete states. Zbl 1026.49021
Galbraith, Grant N.; Vinter, Richard B.
3
2003
Some finance problems solved with nonsmooth optimization techniques. Zbl 1073.91042
Vinter, R. B.; Zheng, H.
2
2003
A finite-dimensional approximation method in optimal control theory. Zbl 1083.49015
Arutyunov, A. V.; Vinter, R. B.
1
2003
A maximum principle for optimal control problems with mixed constraints. Zbl 1103.49307
de Pinho, M. d. R.; Vinter, R. B.; Zheng, H.
8
2001
Dualization of the Euler and Hamiltonian inclusions. Zbl 1004.49016
Bessis, D. N.; Ledyaev, Yu. S.; Vinter, R. B.
5
2001
Optimal control. Zbl 0952.49001
Vinter, Richard
110
2000
Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. Zbl 1050.49022
Frankowska, H.; Vinter, R. B.
73
2000
Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints. Zbl 0967.49017
Vinter, R. B.; Zheng, H.
51
2000
Degenerate optimal control problems with state constraints. Zbl 0987.49013
Rampazzo, Franco; Vinter, Richard
17
2000
A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control. Zbl 1050.49002
Rampazzo, F.; Vinter, R. B.
19
1999
Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints. Zbl 0931.49015
Ferreira, M. M. A.; Fontes, F. A. C. C.; Vinter, R. B.
15
1999
Feasible direction algorithm for optimal control problems with state and control constraints: Implementation. Zbl 0956.90061
Pytlak, R.; Vinter, R. B.
11
1999
Necessary conditions for optimal control problems with state constraints. Zbl 0892.49012
Vinter, R. B.; Zheng, H.
18
1998
A feasible directions algorithm for optimal control problems with state and control constraints: Convergence analysis. Zbl 0921.49021
Pytlak, R.; Vinter, R. B.
8
1998
Necessary conditions for optimal impulsive control problems. Zbl 0886.49028
Silva, G. N.; Vinter, R. B.
36
1997
Necessary conditions for optimal control problems involving nonlinear differential algebraic equations. Zbl 0891.49013
de Pinho, Maria do Rosário; Vinter, R. B.
23
1997
The extended Euler-Lagrange condition for nonconvex variational problems. Zbl 0870.49014
Vinter, Richard; Zheng, Harry
15
1997
Existence of optimal controls for continuous time infinite horizon problems. Zbl 0883.49005
Bell, M. L.; Sargent, R. W. H.; Vinter, R. B.
4
1997
On the occurrence of intermediate local minimizers that are not strong local minimizers. Zbl 0897.49012
Vinter, Richard B.; Woodford, Patrick D.
3
1997
Regularity properties of solutions to linear quadratic optimal control problems with state constraints. Zbl 0899.49017
Clarke, F. H.; Ledyaev, Y.; Vinter, R. B.
1
1997
Measure driven differential inclusions. Zbl 0877.49004
Silva, G. N.; Vinter, R. B.
37
1996
Invariance properties of time measurable differential inclusions and dynamic programming. Zbl 0943.34011
Rapaport, A. E.; Vinter, R. B.
5
1996
An Euler-Lagrange inclusion for optimal control problems. Zbl 0827.49014
de Pinho, Maria do Rosário; Vinter, Richard B.
15
1995
Duality theorems for convex problems with time delay. Zbl 0842.49025
Tsoutsinos, G. I.; Vinter, R. B.
3
1995
When is the maximum principle for state constrained problems nondegenerate? Zbl 0823.49003
Ferreira, M. M. A.; Vinter, R. B.
23
1994
Nonlinear stabilization using discontinuous moving-horizon control. Zbl 0812.93058
Michalska, H.; Vinter, R. B.
4
1994
Uniqueness of solutions to the Hamilton-Jacobi equation: A system theoretic proof. Zbl 0874.49024
Vinter, Richard
1
1994
Convex duality and nonlinear optimal control. Zbl 0781.49012
Vinter, Richard
23
1993
Dynamic optimization problems with free-time and active state constraints. Zbl 0779.49028
Rowland, J. D. L.; Vinter, R. B.
4
1993
Dynamic programming for free-time problems with endpoint constraints. Zbl 0793.49010
Kotsiopoulos, J.; Vinter, R. B.
1
1993
Pontryagin type conditions for differential inclusions with free time. Zbl 0761.49013
Rowland, J. D. L.; Vinter, R. B.
3
1992
Construction of optimal feedback controls. Zbl 0736.49020
Rowland, J. D. L.; Vinter, R. B.
11
1991
Relaxation procedures for time delay systems. Zbl 0761.49005
Rosenblueth, Javier F.; Vinter, Richard B.
11
1991
Hamilton-Jacobi theory for optimal control problems with data measurable in time. Zbl 0721.49029
Vinter, R. B.; Wolenski, P.
13
1990
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
10
1990
A regularity theory for variational problems with higher order derivatives. Zbl 0702.49001
Clarke, F. H.; Vinter, R. B.
1
1990
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
26
1989
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
17
1989
Linear filtering for time-delay systems. Zbl 0678.93061
Briggs, Monima; Vinter, Richard
5
1989
A maximum principle for optimal processes with discontinuous trajectories. Zbl 0647.49013
Vinter, R. B.; Pereira, F. M. F. L.
34
1988
New results on the relationship between dynamic programming and the maximum principle. Zbl 0656.49008
Vinter, R. B.
16
1988
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
8
1988
Optimality and sensitivity of discrete time processes. Zbl 0671.49028
Vinter, R. B.
5
1988
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
38
1987
Pontryagin-type necessary conditions for differential inclusion problems. Zbl 0639.49017
Loewen, Philip D.; Vinter, Richard B.
7
1987
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
10
1986
On connections between the maximum principle and the dynamic programming technique. Zbl 0602.49019
Clarke, F. H.; Vinter, R.
2
1986
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
63
1985
Stochastic modelling and control. Zbl 0654.93001
Davis, M. H. A.; Vinter, R. B.
31
1985
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
16
1985
On the conditions under which the Euler equation or the maximum principle hold. Zbl 0559.49012
Clarke, Frank H.; Vinter, R. B.
17
1984
Local optimality conditions and Lipschitzian solutions to the Hamilton- Jacobi equation. Zbl 0528.49019
Clarke, Frank H.; Vinter, Richard B.
19
1983
New global optimality conditions in optimal control theory. Zbl 0507.49017
Vinter, R. B.
6
1983
Weakest conditions for existence of Lipschitz continuous Krotov functions in optimal control theory. Zbl 0507.49016
Vinter, R. B.
2
1983
The equivalence of ”strong calmness” and ”calmness” in optimal control theory. Zbl 0528.49018
Vinter, R. B.
2
1983
A maximum principle for nonsmooth optimal-control problems with state constraints. Zbl 0519.49011
Vinter, R. B.; Pappas, G.
19
1982
The infinite time quadratic control problem for linear systems with state and control delays: an evolution equation approach. Zbl 0465.93043
Vinter, R. B.; Kwong, R. H.
58
1981
A characterization of the reachable set for nonlinear control systems. Zbl 0457.93013
Vinter, Richard
12
1980
Relaxation of optimal control problems to equivalent convex programs. Zbl 0443.49015
Lewis, R. M.; Vinter, R. B.
4
1980
A verification theorem which provides a necessary and sufficient condition for optimality. Zbl 0431.49032
Vinter, R. B.; Lewis, R. M.
3
1980
New representation theorems for consistent flows. Zbl 0387.76005
Lewis, R. M.; Vinter, R. B.
2
1980
Continuous dependence of solutions of a differential inclusion on the right hand side with applications to stability of optimal control problems. Zbl 0442.49025
Stassinopoulos, G. I.; Vinter, R. B.
19
1979
On the evolution of the state of linear differential delay equations in \(M^2\): properties of the generator. Zbl 0375.34040
Vinter, R. B.
13
1978
...and 10 more Documents
all top 5

Cited by 878 Authors

44 Vinter, Richard B.
32 Frankowska, Hélène
22 Mordukhovich, Boris S.
20 Karamzin, Dmitry Yu.
20 Lobo Pereira, Fernando
19 Arutyunov, Aram Vladimirovic
18 Bettiol, Piernicola
18 Clarke, Francis H.
15 de Pinho, Maria do Rosário
14 Silva, Geraldo Nunes
13 Cannarsa, Piermarco
13 Mahmudov, Elimhan N.
10 de Oliveira, Valeriano Antunes
10 Fontes, Fernando A. C. C.
10 Gozzi, Fausto
10 Motta, Monica
10 Rampazzo, Franco
10 Rosenblueth, Javier F.
9 Colombo, Giovanni
9 Dykhta, Vladimir Aleksandrovich
9 Shvartsman, Ilya A.
8 Azhmyakov, Vadim
8 Bayón, Luis
8 Bressan, Alberto
8 Ledyaev, Yuri Semenovich
8 Palladino, Michele
8 Papageorgiou, Nikolaos S.
8 Samsonyuk, Ol’ga Nikolaevna
8 Staritsyn, Maksim Vladimirovich
8 Suárez, Pedro Maria
8 Sychev, Mikhail A.
8 Trélat, Emmanuel
7 Loewen, Philip D.
7 Lorenz, Thomas
7 Marchini, Elsa Maria
7 Mariconda, Carlo
7 Satco, Bianca-Renata
7 Zeidan, Vera Michel
7 Zhang, Huanshui
7 Zidani, Hasnaa
6 Gaitsgory, Vladimir A.
6 Grau, José María
6 Henrion, Didier
6 Mazzola, Marco
6 Mizel, Victor J.
6 Poznyak, Aleksandr Semënovich
6 Pytlak, Radosław
6 Teo, Kok Lay
6 Wolenski, Peter R.
6 Zhukovskiĭ, Sergeĭ Evgen’evich
5 Aronna, María Soledad
5 Aseev, Sergei M.
5 Cao, Tan H.
5 Delfour, Michel Claude
5 Fabbri, Giorgio
5 Glizer, Valery Y.
5 Goncharova, Elena Vladimirovna
5 Gratwick, Richard
5 Gusev, Mikhail Ivanovich
5 Hermosilla, Cristopher
5 Ioffe, Alexander Davidovich
5 Ito, Kazufumi
5 Kushner, Harold J.
5 Manitius, Andrzej Z.
5 Nguyen Thi Toan
5 Ruiz, Maria M.
5 Yao, Jen-Chih
4 Boccia, Andrea
4 Federico, Salvatore
4 Ferriero, Alessandro
4 Festa, Adriano
4 Galperin, Efim A.
4 Kaya, C. Yalçin
4 Kien, Bui Trong
4 Korda, Milan
4 Lopes, Sofia O.
4 Margaliot, Michael
4 Nguyen, Dao
4 Osmolovskiĭ, Nikolaĭ Pavlovich
4 Rapaport, Alain
4 Scarinci, Teresa
4 Sorokin, Stepan Pavlovich
4 Stern, Ronald Jay
4 Warga, Jack
4 Ye, Jane J.
4 Zheng, Wei Xing
4 Zhu, Qiji Jim
3 Ball, John M.
3 Bayen, Térence
3 Biswas, Md. Haider Ali
3 Bokanowski, Olivier
3 Boltyanskij, Vladimir Grigor’evich
3 Bonnans, Joseph Frédéric
3 Bonnard, Bernard
3 Cichoń, Mieczysław
3 Costa, Oswaldo Luiz V.
3 Di Piazza, Luisa
3 Dmitruk, Andrei V.
3 Facchi, Giancarlo
3 Ferreira, M. Margarida A.
...and 778 more Authors
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Cited in 167 Serials

71 Journal of Optimization Theory and Applications
56 Journal of Mathematical Analysis and Applications
40 Journal of Differential Equations
36 Systems & Control Letters
33 SIAM Journal on Control and Optimization
31 Automatica
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Applied Mathematics and Optimization
25 Set-Valued and Variational Analysis
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Proceedings of the Steklov Institute of Mathematics
17 Transactions of the American Mathematical Society
17 European Journal of Control
14 Nonlinear Analysis. Theory, Methods & Applications
13 Optimization
12 International Journal of Control
11 Journal of Dynamical and Control Systems
10 Journal of the Franklin Institute
9 Journal of Global Optimization
9 Automation and Remote Control
9 Calculus of Variations and Partial Differential Equations
9 Discrete and Continuous Dynamical Systems
8 Archive for Rational Mechanics and Analysis
8 Optimal Control Applications & Methods
8 Journal of Mathematical Sciences (New York)
8 Nonlinear Analysis. Hybrid Systems
8 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
7 International Journal of Systems Science
7 MCSS. Mathematics of Control, Signals, and Systems
7 NoDEA. Nonlinear Differential Equations and Applications
6 Siberian Mathematical Journal
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Applied Mathematics Letters
6 International Journal of Robust and Nonlinear Control
6 Differential Equations
5 Computers & Mathematics with Applications
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Discrete and Continuous Dynamical Systems. Series B
5 Stochastics
4 Stochastics
4 Journal of Computational and Applied Mathematics
4 Numerical Functional Analysis and Optimization
4 Proceedings of the American Mathematical Society
4 Mathematical and Computer Modelling
4 European Journal of Operational Research
4 Mathematical Programming. Series A. Series B
4 Vietnam Journal of Mathematics
4 Optimization Letters
4 Mathematical Control and Related Fields
3 Applicable Analysis
3 Mathematical Notes
3 Journal of Economic Theory
3 Journal of Soviet Mathematics
3 Journal of Economic Dynamics & Control
3 International Journal of Adaptive Control and Signal Processing
3 Applied Mathematical Modelling
3 Russian Mathematics
3 Computational Optimization and Applications
3 Set-Valued Analysis
3 Mathematical Problems in Engineering
3 Mathematical Population Studies
3 Nonlinear Dynamics
2 Advances in Applied Probability
2 Israel Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Fuzzy Sets and Systems
2 Information Sciences
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Acta Applicandae Mathematicae
2 Annals of Operations Research
2 The Annals of Applied Probability
2 International Journal of Computer Mathematics
2 SIAM Journal on Optimization
2 Journal of Convex Analysis
2 Doklady Mathematics
2 Abstract and Applied Analysis
2 Optimization Methods & Software
2 Advances in Difference Equations
2 Journal of Industrial and Management Optimization
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Asian Journal of Control
2 Dynamic Games and Applications
2 Minimax Theory and its Applications
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Information Processing Letters
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Periodica Mathematica Hungarica
1 Physica A
1 Problems of Information Transmission
1 Psychometrika
1 Bulletin of Mathematical Biology
1 Acta Mathematica Vietnamica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Calcolo
...and 67 more Serials
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Cited in 39 Fields

624 Calculus of variations and optimal control; optimization (49-XX)
280 Systems theory; control (93-XX)
164 Ordinary differential equations (34-XX)
112 Operations research, mathematical programming (90-XX)
55 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 Partial differential equations (35-XX)
42 Numerical analysis (65-XX)
39 Probability theory and stochastic processes (60-XX)
34 Operator theory (47-XX)
24 Biology and other natural sciences (92-XX)
23 Real functions (26-XX)
16 Mechanics of particles and systems (70-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Functional analysis (46-XX)
11 Statistics (62-XX)
10 Measure and integration (28-XX)
9 General topology (54-XX)
8 Computer science (68-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Differential geometry (53-XX)
4 Difference and functional equations (39-XX)
4 Integral equations (45-XX)
4 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Approximations and expansions (41-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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