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Author ID: clarke.francis-h Recent zbMATH articles by "Clarke, Francis H."
Published as: Clarke, F. H.; Clarke, Frank H.; Clarke, Francis; Clarke, Francis H.; Clarke, F.; Clarke, Franke H.; Clarke, Frank
Homepage: http://math.univ-lyon1.fr/~clarke/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 142 Publications since 1972, including 9 Books
3 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 31 Co-Authors with 82 Joint Publications
973 Co-Co-Authors
all top 5

Serials

18 SIAM Journal on Control and Optimization
9 Transactions of the American Mathematical Society
6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
5 Journal of Differential Equations
4 Canadian Journal of Mathematics
4 Journal of Convex Analysis
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics and Optimization
3 Canadian Mathematical Bulletin
3 Control and Cybernetics
3 Proceedings of the American Mathematical Society
3 Systems & Control Letters
3 Nonlinear Analysis. Theory, Methods & Applications
2 Discrete Mathematics
2 IEEE Transactions on Automatic Control
2 Journal of Optimization Theory and Applications
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Discrete and Continuous Dynamical Systems
2 Journal of Dynamical and Control Systems
2 Graduate Texts in Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Advances in Mathematics
1 American Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales des Sciences Mathématiques du Québec
1 Applied Mathematics Notes
1 Differentsial’nye Uravneniya
1 Econometrica
1 Journal of the London Mathematical Society. Second Series
1 Mathematics of Operations Research
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Applied Mathematics Letters
1 Journal of Global Optimization
1 SIAM Review
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Mathematical Programming. Series A. Series B
1 Russian Academy of Sciences. Doklady. Mathematics
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Natural Resource Modeling
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Bulletin of the American Mathematical Society
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Classics in Applied Mathematics
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Proceedings of the Steklov Institute of Mathematics
1 Series on Advances in Mathematics for Applied Sciences
1 Canadian Mathematical Society Series of Monographs and Advanced Texts
1 Actes des Rencontres du C.I.R.M.

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 9,022 times in 6,929 Documents Cited by Year
Optimization and nonsmooth analysis. Zbl 0582.49001
Clarke, Frank H.
1983
Optimization and nonsmooth analysis. Reprint. Zbl 0696.49002
Clarke, Frank H.
870
1990
Optimization and nonsmooth analysis. Unrev. reprinting of the orig., publ. 1983 by Wiley. Zbl 0727.90045
Clarke, F. H.
834
1989
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
830
1998
Generalized gradients and applications. Zbl 0307.26012
Clarke, Frank H.
452
1975
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
294
2013
A new approach to Lagrange multipliers. Zbl 0404.90100
Clarke, Frank H.
243
1976
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
171
1995
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
136
1997
On the inverse function theorem. Zbl 0331.26013
Clarke, F. H.
131
1976
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
118
1995
Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016
Clarke, F. H.; Ekeland, I.
90
1980
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
86
1998
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
74
1985
Generalized gradients of Lipschitz functionals. Zbl 0463.49017
Clarke, Frank H.
70
1981
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
66
1989
Periodic solutions to Hamiltonian inclusions. Zbl 0461.34030
Clarke, Frank H.
66
1981
The maximum principle under minimal hypotheses. Zbl 0344.49009
Clarke, Frank H.
64
1976
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
61
1979
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
46
1987
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
46
1979
Necessary conditions in dynamic optimization. Zbl 1093.49017
Clarke, Francis
44
2005
Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032
Clarke, Frank H.; Ekeland, I.
42
1982
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
38
2000
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
35
1989
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
32
1993
Optimal control problems with mixed constraints. Zbl 1208.49018
Clarke, Francis; De Pinho, M. R.
31
2010
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
31
1994
A classical variational principle for periodic Hamiltonian trajectories. Zbl 0434.70022
Clarke, Frank H.
31
1979
The Euler-Lagrange differential inclusion. Zbl 0323.49021
Clarke, Frank H.
30
1975
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
27
1997
The generalized problem of Bolza. Zbl 0333.49023
Clarke, Frank H.
27
1976
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
27
1993
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
25
1989
Optimal solutions to differential inclusions. Zbl 0307.49042
Clarke, F. H.
23
1976
Admissible relaxation in variational and control problems. Zbl 0326.49031
Clarke, Frank H.
23
1975
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
23
1977
Regularity, existence and necessary conditions for the basic problem in the calculus of variations. Zbl 0612.49002
Clarke, F. H.
21
1987
Local optimality conditions and Lipschitzian solutions to the Hamilton- Jacobi equation. Zbl 0528.49019
Clarke, Frank H.; Vinter, Richard B.
20
1983
Optimization and nonsmooth analysis. Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. (Оптимизация и негладкий анализ.) Zbl 0662.49001
Clarke, Frank H.
20
1988
A graph polynomial and its applications. Zbl 0244.05111
Clarke, Frank H.
18
1972
Continuity of solutions to a basic problem in the calculus of variations. Zbl 1127.49001
Clarke, Francis
18
2005
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
18
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
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
17
1994
Extremal arcs and extended Hamiltonian systems. Zbl 0369.49011
Clarke, Frank H.
17
1977
Optimal control and the true Hamiltonian. Zbl 0408.49025
Clarke, Frank H.
17
1979
The value function in optimal control: Sensitivity, controllability, and time-optimality. Zbl 0601.49020
Clarke, Frank H.; Loewen, Philip D.
16
1986
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
16
1995
Pointwise contraction criteria for the existence of fixed points. Zbl 0414.54030
Clarke, Frank H.
15
1978
Necessary conditions, controllability and the value function for differential-difference inclusions. Zbl 0609.49013
Clarke, Frank H.; Watkins, Gavin G.
14
1986
Partial subdifferentials, derivates and Rademacher’s theorem. Zbl 0924.49013
Bessis, D. N.; Clarke, F. H.
14
1999
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
14
1996
Sufficiency and the Jacobi condition in the calculus of variations. Zbl 0661.49010
Clarke, Frank H.; Zeidan, Vera
13
1986
Universal feedback control via proximal aiming in problems of control under disturbance and differential games. Zbl 0965.49022
Clarke, F.; Ledyaev, Yu. S.; Subbotin, A. I.
13
1999
Lyapunov functions and feedback in nonlinear control. Zbl 1079.93037
Clarke, Francis
13
2004
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
12
2002
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
12
1990
Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029
Adams, R. A.; Clarke, Frank H.
12
1979
Solution périodique des équations hamiltoniennes. Zbl 0422.35005
Clarke, Frank H.
12
1978
Local Lipschitz continuity of solutions to a problem in the calculus of variations. Zbl 1141.49033
Bousquet, Pierre; Clarke, Francis
12
2007
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
11
1986
A proximal characterization of the reachable set. Zbl 0866.93008
Clarke, F. H.
11
1996
Multiple integrals of Lipschitz functions in the calculus of variations. Zbl 0411.49015
Clarke, Frank H.
10
1977
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
9
1988
Periodic solutions of Hamilton’s equations and local minima of the dual action. Zbl 0596.49030
Clarke, Frank H.
9
1985
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
9
1997
An intermediate existence theory in the calculus of variations. Zbl 0727.49004
Clarke, Frank H.; Loewen, Philip D.
9
1989
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
9
1980
The Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
9
1980
The maximum principle in optimal control, then and now. Zbl 1167.49311
Clarke, Francis
8
2005
Perturbed optimal control problems. Zbl 0587.49026
Clarke, Frank H.
8
1986
The synthesis of universal feedback pursuit strategies in differential games. Zbl 0872.90128
Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1997
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
7
1999
The Hamilton-Jacobi equation of minimal time control. Zbl 1072.49018
Clarke, F. H.; Nour, C.
7
2004
State constrained feedback stabilization. Zbl 1037.93068
Clarke, F. H.; Stern, R. J.
7
2003
Intersection formulas in nonsmooth analysis. (Formules d’intersection en analyse non lisse.) Zbl 0746.49015
Clarke, F. H.; Raissi, N.
7
1990
Necessary conditions for nonsmooth variational problems. Zbl 0327.49015
Clarke, Frank H.
7
1974
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
Hamiltonian analysis of the generalized problem of Bolza. Zbl 0621.49011
Clarke, F. H.
6
1987
Inequality constraints in the calculus of variations. Zbl 0337.49012
Clarke, Frank H.
6
1977
Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105
Aubin, Jean-Pierre; Clarke, Frank H.
6
1977
Proximal analysis and feedback construction. Zbl 1116.93031
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
2000
State constraints in optimal control: A case study in proximal normal analysis. Zbl 0637.49007
Clarke, Frank H.; Loewen, Philip D.
5
1987
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
Hamilton-Jacobi characterization of the state constrained value. Zbl 1098.49005
Clarke, F. H.; Stern, R. J.
5
2005
Nonsmooth analysis in control theory: a survey. Zbl 1293.49033
Clarke, Francis
5
2001
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
5
1991
The nonsmooth maximum principle. Zbl 1236.49048
Clarke, F.; do Rosario de Pinho, M.
5
2009
The multidirectional mean value theorem in Banach spaces. Zbl 0895.49009
Radulescu, M. L.; Clarke, F. H.
5
1997
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
5
1993
Multicolorings, measures and games on graphs. Zbl 0328.05110
Clarke, F. H.; Jamison, R. E.
5
1976
A Lipschitz regularity theorem. Zbl 1138.49032
Clarke, Francis
5
2007
On Hamiltonian flows and symplectic transformations. Zbl 0506.58012
Clarke, Frank H.
4
1982
A general theorem on necessary conditions in optimal control. Zbl 1214.49018
Clarke, Francis
4
2011
Maximum principles without differentiability. Zbl 0297.49035
Clarke, Frank H.
4
1975
Nonconvex duality in optimal control. Zbl 1086.49002
Clarke, F. H.; Nour, C.
4
2005
A decoupling principle in the calculus of variations. Zbl 0795.49018
Clarke, F. H.
4
1993
Fixed point theory via nonsmooth analysis. Zbl 0874.47032
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1997
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
294
2013
A general theorem on necessary conditions in optimal control. Zbl 1214.49018
Clarke, Francis
4
2011
An extension of the Schwarzkopf multiplier rule in optimal control. Zbl 1218.49027
Clarke, Francis; Ledyaev, Yuri; de Pinho, Maria do Rosário
4
2011
Optimal control problems with mixed constraints. Zbl 1208.49018
Clarke, Francis; De Pinho, M. R.
31
2010
The nonsmooth maximum principle. Zbl 1236.49048
Clarke, F.; do Rosario de Pinho, M.
5
2009
Stability analysis of sliding-mode feedback control. Zbl 1236.93130
Vinter, R.; Clarke, F.
1
2009
Necessary conditions in optimal control and in the calculus of variations. Zbl 1144.49013
Clarke, Francis
3
2008
Local Lipschitz continuity of solutions to a problem in the calculus of variations. Zbl 1141.49033
Bousquet, Pierre; Clarke, Francis
12
2007
A Lipschitz regularity theorem. Zbl 1138.49032
Clarke, Francis
5
2007
Lipschitzian continuity of solutions for a problem in the calculus of variations. (Continuité lipschitzienne des solutions d’un problème en calcul des variations.) Zbl 1134.49023
Bousquet, Pierre; Clarke, Francis
1
2006
Necessary conditions in dynamic optimization. Zbl 1093.49017
Clarke, Francis
44
2005
Continuity of solutions to a basic problem in the calculus of variations. Zbl 1127.49001
Clarke, Francis
18
2005
The maximum principle in optimal control, then and now. Zbl 1167.49311
Clarke, Francis
8
2005
Hamilton-Jacobi characterization of the state constrained value. Zbl 1098.49005
Clarke, F. H.; Stern, R. J.
5
2005
Nonconvex duality in optimal control. Zbl 1086.49002
Clarke, F. H.; Nour, C.
4
2005
Lyapunov and feedback characterizations of state constrained controllability and stabilization. Zbl 1129.93320
Clarke, F. H.; Stern, R. J.
3
2005
Lyapunov functions and feedback in nonlinear control. Zbl 1079.93037
Clarke, Francis
13
2004
The Hamilton-Jacobi equation of minimal time control. Zbl 1072.49018
Clarke, F. H.; Nour, C.
7
2004
State constrained feedback stabilization. Zbl 1037.93068
Clarke, F. H.; Stern, R. J.
7
2003
Necessary conditions in optimal control: a new approach. Zbl 1053.49025
Clarke, Francis
1
2003
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
12
2002
Nonsmooth analysis in control theory: a survey. Zbl 1293.49033
Clarke, Francis
5
2001
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
38
2000
Proximal analysis and feedback construction. Zbl 1116.93031
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
2000
The calculus of variations, nonsmooth analysis and optimal control. Zbl 0970.49002
Clarke, Francis H.
1
2000
Partial subdifferentials, derivates and Rademacher’s theorem. Zbl 0924.49013
Bessis, D. N.; Clarke, F. H.
14
1999
Universal feedback control via proximal aiming in problems of control under disturbance and differential games. Zbl 0965.49022
Clarke, F.; Ledyaev, Yu. S.; Subbotin, A. I.
13
1999
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
7
1999
Nonlinear analysis, differential equations and control. Proceedings of the NATO Advanced Study Institute and séminaire de mathématiques supérieures, Montréal, Canada, July 27–August 7, 1998. Zbl 0913.00037
2
1999
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
830
1998
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
86
1998
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
136
1997
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
27
1997
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
9
1997
The synthesis of universal feedback pursuit strategies in differential games. Zbl 0872.90128
Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1997
The multidirectional mean value theorem in Banach spaces. Zbl 0895.49009
Radulescu, M. L.; Clarke, F. H.
5
1997
Fixed point theory via nonsmooth analysis. Zbl 0874.47032
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
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
Geometric approximation on proximal normals. Zbl 0908.49016
Radulescu, M. L.; Clarke, F. H.
1
1997
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
14
1996
A proximal characterization of the reachable set. Zbl 0866.93008
Clarke, F. H.
11
1996
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
171
1995
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
118
1995
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
16
1995
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
31
1994
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
17
1994
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
32
1993
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
27
1993
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
5
1993
A decoupling principle in the calculus of variations. Zbl 0795.49018
Clarke, F. H.
4
1993
The proximal subgradient and constancy. Zbl 0804.49014
Clarke, F. H.; Redheffer, R. M.
2
1993
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
5
1991
Optimization and nonsmooth analysis. Reprint. Zbl 0696.49002
Clarke, Frank H.
870
1990
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
12
1990
Intersection formulas in nonsmooth analysis. (Formules d’intersection en analyse non lisse.) Zbl 0746.49015
Clarke, F. H.; Raissi, N.
7
1990
A regularity theory for variational problems with higher order derivatives. Zbl 0702.49001
Clarke, F. H.; Vinter, R. B.
4
1990
Optimization and nonsmooth analysis. Unrev. reprinting of the orig., publ. 1983 by Wiley. Zbl 0727.90045
Clarke, F. H.
834
1989
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
66
1989
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
35
1989
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
25
1989
An intermediate existence theory in the calculus of variations. Zbl 0727.49004
Clarke, Frank H.; Loewen, Philip D.
9
1989
Variational problems with Lipschitzian minimizers. Zbl 0677.49006
Clarke, F. H.; Loewen, P. D.
2
1989
Analyse non linéaire. Contributions en l’honneur de J.-J. Moreau. (Congrès franco-québecois d’analyse non linéaire appliquée, Perpignan/France, du 22 au 26 juin 1987). Zbl 0673.00015
Attouch, Hedy; Aubin, Jean-Pierre; Clarke, Francis; Ekeland, Ivar
1
1989
Applications of proximal subgradients. Zbl 0749.49012
Clarke, F. H.
1
1989
Optimization and nonsmooth analysis. Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. (Оптимизация и негладкий анализ.) Zbl 0662.49001
Clarke, Frank H.
20
1988
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
9
1988
Intermediate existence and regularity in the calculus of variations. Zbl 0695.49001
Clarke, Frank H.; Loewen, Philip D.
1
1988
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
46
1987
Regularity, existence and necessary conditions for the basic problem in the calculus of variations. Zbl 0612.49002
Clarke, F. H.
21
1987
Hamiltonian analysis of the generalized problem of Bolza. Zbl 0621.49011
Clarke, F. H.
6
1987
State constraints in optimal control: A case study in proximal normal analysis. Zbl 0637.49007
Clarke, Frank H.; Loewen, Philip D.
5
1987
Coastal states, distant water fishing nations and extended jurisdiction: a principal-agent analysis. Zbl 0850.90174
Clarke, F. H.; Munro, G. R.
3
1987
The value function in optimal control: Sensitivity, controllability, and time-optimality. Zbl 0601.49020
Clarke, Frank H.; Loewen, Philip D.
16
1986
Necessary conditions, controllability and the value function for differential-difference inclusions. Zbl 0609.49013
Clarke, Frank H.; Watkins, Gavin G.
14
1986
Sufficiency and the Jacobi condition in the calculus of variations. Zbl 0661.49010
Clarke, Frank H.; Zeidan, Vera
13
1986
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
11
1986
Perturbed optimal control problems. Zbl 0587.49026
Clarke, Frank H.
8
1986
Tonelli’s regularity theory in the calculus of variations: Recent progress. Zbl 0589.49012
Clarke, F. H.
3
1986
On connections between the maximum principle and the dynamic programming technique. Zbl 0602.49019
Clarke, F. H.; Vinter, R.
3
1986
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
74
1985
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
18
1985
Periodic solutions of Hamilton’s equations and local minima of the dual action. Zbl 0596.49030
Clarke, Frank H.
9
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
Optimization and nonsmooth analysis. Zbl 0582.49001
Clarke, Frank H.
1983
Local optimality conditions and Lipschitzian solutions to the Hamilton- Jacobi equation. Zbl 0528.49019
Clarke, Frank H.; Vinter, Richard B.
20
1983
Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032
Clarke, Frank H.; Ekeland, I.
42
1982
On Hamiltonian flows and symplectic transformations. Zbl 0506.58012
Clarke, Frank H.
4
1982
The applicability of the Hamilton-Jacobi verification technique. Zbl 0483.49014
Clarke, Frank H.
2
1982
Generalized gradients of Lipschitz functionals. Zbl 0463.49017
Clarke, Frank H.
70
1981
Periodic solutions to Hamiltonian inclusions. Zbl 0461.34030
Clarke, Frank H.
66
1981
A variational proof of Aumann’s theorem. Zbl 0518.28007
Clarke, Frank H.
1
1981
Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016
Clarke, F. H.; Ekeland, I.
90
1980
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
9
1980
The Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
9
1980
Lagrange multipliers, generalized gradients and calmness. Zbl 0442.49017
Clarke, F. H.
3
1980
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
61
1979
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
46
1979
...and 27 more Documents
all top 5

Cited by 6,011 Authors

112 Migórski, Stanisław
84 Papageorgiou, Nikolaos S.
61 Thibault, Lionel
54 Sofonea, Mircea
52 Liu, Zhenhai
51 Qi, Liqun
49 Motreanu, Dumitru
49 Ye, Jane J.
44 Mordukhovich, Boris S.
44 Yao, Jen-Chih
43 Han, Weimin
43 Vinter, Richard B.
42 Clarke, Francis H.
42 Frankowska, Hélène
42 Ochal, Anna
41 Huang, Lihong
38 Gasiński, Leszek
38 Nobakhtian, Soghra
37 Penot, Jean-Paul
34 Mahmudov, Elimhan Nadir
34 Panagiotopoulos, Panagiotis D.
34 Yang, Xiaoqi
34 Zeng, Shengda
32 Sun, Defeng
30 Soleimani-damaneh, Majid
30 Zhang, Liwei
28 Cannarsa, Piermarco
28 Carl, Siegfried
28 Jourani, Abderrahim
28 Mishra, Shashi Kant
28 Noor, Muhammad Aslam
27 Xiao, Yibin
27 Xu, Huifu
26 Ioffe, Alexander Davidovich
26 Teel, Andrew Richard
25 Arutyunov, Aram Vladimirovic
25 Chen, Xiaojun
25 Kanzow, Christian
25 Lewis, Adrian S.
24 Adly, Samir
24 Antczak, Tadeusz
24 Borwein, Jonathan Michael
24 Cao, Jinde
24 Chiou, Suh-Wen
24 Outrata, Jiří V.
24 Wang, Shawn Xianfu
23 Gadhi, Nazih Abderrazzak
22 Bagirov, Adil M.
22 Bounkhel, Messaoud
22 Huang, Nan-Jing
22 Ma, Changfeng
21 Kim, Do Sang
21 Zaslavski, Alexander Yakovlevich
21 Zhou, Jinchuan
20 Dempe, Stephan
20 Mariconda, Carlo
20 Toh, Kim Chuan
20 Zeng, Biao
19 Alves, Claudianor Oliveira
19 Aseev, Sergei M.
19 Bettiol, Piernicola
19 Cai, Zuowei
19 Chen, Jein-Shan
19 Pang, Jong-Shi
19 Pang, Liping
19 Rădulescu, Vicenţiu D.
19 Nguyen Dong Yen
19 Zheng, Xiyin
18 Bartosz, Krzysztof
18 Gao, Yan
18 Kalita, Piotr
18 Li, Chong
17 de Pinho, Maria do Rosário
17 Jeyakumar, Vaithilingam
17 Liu, Sanyang
17 Mehlitz, Patrick
17 Nour, Chadi
17 Rockafellar, Ralph Tyrrell
17 Tang, Jingyong
17 Zeidan, Vera Michel
17 Zhang, Jin
16 Burke, James V.
16 Colombo, Giovanni
16 Daniilidis, Aris
16 Ekeland, Ivar
16 Kanzi, Nader
16 Kruger, Alexander Y.
16 Ledyaev, Yuri Semenovich
16 Qin, Sitian
16 Sun, Jie
15 Barton, Paul I.
15 Craven, Bruce Desmond
15 Dinh The Luc
15 Dutta, Joydeep
15 Dykhta, Vladimir Aleksandrovich
15 Hiriart-Urruty, Jean-Baptiste
15 Huang, Zheng-Hai
15 Nam, Nguyen Mau
15 Naniewicz, Zdzisław
15 Ng, Kung-Fu
...and 5,911 more Authors
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Cited in 591 Serials

480 Journal of Optimization Theory and Applications
347 Journal of Mathematical Analysis and Applications
301 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
201 Optimization
192 Mathematical Programming. Series A. Series B
177 Journal of Global Optimization
143 Nonlinear Analysis. Theory, Methods & Applications
137 Set-Valued and Variational Analysis
121 Automatica
114 Computational Optimization and Applications
112 Numerical Functional Analysis and Optimization
111 Journal of Differential Equations
110 SIAM Journal on Optimization
109 Systems & Control Letters
101 Applied Mathematics and Optimization
96 Journal of Computational and Applied Mathematics
96 Optimization Letters
92 Applied Mathematics and Computation
80 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
77 SIAM Journal on Control and Optimization
67 Transactions of the American Mathematical Society
67 Neural Networks
66 Nonlinear Analysis. Real World Applications
62 Optimization Methods & Software
53 Computers & Mathematics with Applications
51 Set-Valued Analysis
50 European Journal of Operational Research
50 Journal of Convex Analysis
45 Abstract and Applied Analysis
45 Journal of Industrial and Management Optimization
41 Proceedings of the Steklov Institute of Mathematics
40 Applicable Analysis
40 Journal of the Franklin Institute
40 Journal of Mathematical Economics
40 Calculus of Variations and Partial Differential Equations
37 Communications in Nonlinear Science and Numerical Simulation
36 Proceedings of the American Mathematical Society
35 International Journal of Control
35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
35 Positivity
35 Journal of Applied Mathematics and Computing
34 International Journal of Robust and Nonlinear Control
31 Journal of Mathematical Sciences (New York)
30 Journal of Inequalities and Applications
29 Journal of Functional Analysis
29 Applied Mathematics Letters
27 Computer Methods in Applied Mechanics and Engineering
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
26 Journal of Dynamical and Control Systems
25 Journal of Scientific Computing
25 Annals of Operations Research
25 Numerical Algorithms
23 Applied Mathematical Modelling
23 European Journal of Control
22 Archive for Rational Mechanics and Analysis
22 Annali di Matematica Pura ed Applicata. Serie Quarta
22 Linear Algebra and its Applications
22 Mathematical Methods of Operations Research
21 Journal of Economic Theory
21 Computational and Applied Mathematics
21 Mathematical Problems in Engineering
20 Mathematical Notes
20 MCSS. Mathematics of Control, Signals, and Systems
20 International Journal of Computer Mathematics
20 Discrete and Continuous Dynamical Systems
20 Nonlinear Analysis. Hybrid Systems
19 Mathematical Programming
19 Discrete and Continuous Dynamical Systems. Series B
18 Information Sciences
17 Numerische Mathematik
17 Rendiconti del Circolo Matemàtico di Palermo. Serie II
17 Operations Research Letters
17 Automation and Remote Control
17 NoDEA. Nonlinear Differential Equations and Applications
17 Vietnam Journal of Mathematics
17 Mathematical Control and Related Fields
16 Acta Mathematicae Applicatae Sinica. English Series
16 Mathematical and Computer Modelling
16 Applications of Mathematics
16 Differential Equations
15 Mathematical Biosciences
15 Chaos, Solitons and Fractals
15 Journal of Economic Dynamics & Control
15 Russian Mathematics
15 Journal of Applied Mathematics
15 Evolution Equations and Control Theory
14 Mathematische Nachrichten
14 SIAM Journal on Mathematical Analysis
14 Cybernetics and Systems Analysis
14 Journal of Systems Science and Complexity
14 Science China. Mathematics
13 Doklady Mathematics
13 Boundary Value Problems
12 Bulletin of the Australian Mathematical Society
12 Israel Journal of Mathematics
12 Mathematics of Operations Research
12 SIAM Journal on Numerical Analysis
12 Optimal Control Applications & Methods
12 Cybernetics
12 Applied Mathematics and Mechanics. (English Edition)
...and 491 more Serials
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Cited in 58 Fields

3,312 Calculus of variations and optimal control; optimization (49-XX)
2,615 Operations research, mathematical programming (90-XX)
941 Systems theory; control (93-XX)
929 Numerical analysis (65-XX)
813 Partial differential equations (35-XX)
770 Ordinary differential equations (34-XX)
636 Operator theory (47-XX)
403 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
389 Real functions (26-XX)
370 Global analysis, analysis on manifolds (58-XX)
336 Mechanics of deformable solids (74-XX)
280 Functional analysis (46-XX)
206 Dynamical systems and ergodic theory (37-XX)
199 Biology and other natural sciences (92-XX)
148 Computer science (68-XX)
115 Convex and discrete geometry (52-XX)
107 General topology (54-XX)
105 Probability theory and stochastic processes (60-XX)
105 Mechanics of particles and systems (70-XX)
95 Statistics (62-XX)
91 Differential geometry (53-XX)
88 Linear and multilinear algebra; matrix theory (15-XX)
66 Fluid mechanics (76-XX)
64 Measure and integration (28-XX)
49 Approximations and expansions (41-XX)
48 Combinatorics (05-XX)
46 Information and communication theory, circuits (94-XX)
29 Difference and functional equations (39-XX)
22 Algebraic geometry (14-XX)
21 Integral equations (45-XX)
20 Manifolds and cell complexes (57-XX)
13 Optics, electromagnetic theory (78-XX)
12 Quantum theory (81-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Mathematical logic and foundations (03-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Algebraic topology (55-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 History and biography (01-XX)
7 Relativity and gravitational theory (83-XX)
6 Geometry (51-XX)
6 Geophysics (86-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Nonassociative rings and algebras (17-XX)
5 Functions of a complex variable (30-XX)
5 Integral transforms, operational calculus (44-XX)
4 General and overarching topics; collections (00-XX)
3 Potential theory (31-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Mathematics education (97-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Astronomy and astrophysics (85-XX)

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