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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: 30 Co-Authors with 81 Joint Publications
940 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

123 Publications have been cited 7,627 times in 5,817 Documents Cited by Year
Optimization and nonsmooth analysis. Zbl 0582.49001
Clarke, Frank H.
1983
Optimization and nonsmooth analysis. Unrev. reprinting of the orig., publ. 1983 by Wiley. Zbl 0727.90045
Clarke, F. H.
822
1989
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
644
1998
Optimization and nonsmooth analysis. Reprint. Zbl 0696.49002
Clarke, Frank H.
584
1990
Generalized gradients and applications. Zbl 0307.26012
Clarke, Frank H.
424
1975
A new approach to Lagrange multipliers. Zbl 0404.90100
Clarke, Frank H.
226
1976
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
189
2013
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
155
1995
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
132
1997
On the inverse function theorem. Zbl 0331.26013
Clarke, F. H.
122
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.
117
1995
Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016
Clarke, F. H.; Ekeland, I.
87
1980
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
72
1998
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
70
1985
Generalized gradients of Lipschitz functionals. Zbl 0463.49017
Clarke, Frank H.
68
1981
Periodic solutions to Hamiltonian inclusions. Zbl 0461.34030
Clarke, Frank H.
64
1981
The maximum principle under minimal hypotheses. Zbl 0344.49009
Clarke, Frank H.
61
1976
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
58
1979
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
51
1989
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
45
1979
Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032
Clarke, Frank H.; Ekeland, I.
42
1982
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
41
1987
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
37
2000
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
31
1989
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
31
1993
The Euler-Lagrange differential inclusion. Zbl 0323.49021
Clarke, Frank H.
30
1975
Necessary conditions in dynamic optimization. Zbl 1093.49017
Clarke, Francis
29
2005
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
28
1994
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
26
1997
Optimal control problems with mixed constraints. Zbl 1208.49018
Clarke, Francis; De Pinho, M. R.
26
2010
A classical variational principle for periodic Hamiltonian trajectories. Zbl 0434.70022
Clarke, Frank H.
25
1979
The generalized problem of Bolza. Zbl 0333.49023
Clarke, Frank H.
25
1976
Admissible relaxation in variational and control problems. Zbl 0326.49031
Clarke, Frank H.
23
1975
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
23
1993
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
22
1977
Optimal solutions to differential inclusions. Zbl 0307.49042
Clarke, F. H.
21
1976
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
21
1989
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
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
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
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
16
1994
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Pointwise contraction criteria for the existence of fixed points. Zbl 0414.54030
Clarke, Frank H.
15
1978
A graph polynomial and its applications. Zbl 0244.05111
Clarke, Frank H.
15
1972
Necessary conditions, controllability and the value function for differential-difference inclusions. Zbl 0609.49013
Clarke, Frank H.; Watkins, Gavin G.
14
1986
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
13
1996
Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029
Adams, R. A.; Clarke, Frank H.
12
1979
Local Lipschitz continuity of solutions to a problem in the calculus of variations. Zbl 1141.49033
Bousquet, Pierre; Clarke, Francis
12
2007
Optimization and nonsmooth analysis. (Optimizatsiya i negladkij analiz). Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. (Optimizatsiya i negladkij analiz.) Zbl 0662.49001
Clarke, Frank H.
12
1988
Partial subdifferentials, derivates and Rademacher’s theorem. Zbl 0924.49013
Bessis, D. N.; Clarke, F. H.
12
1999
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
12
2002
Sufficiency and the Jacobi condition in the calculus of variations. Zbl 0661.49010
Clarke, Frank H.; Zeidan, Vera
12
1986
Solution périodique des équations hamiltoniennes. Zbl 0422.35005
Clarke, Frank H.
11
1978
A proximal characterization of the reachable set. Zbl 0866.93008
Clarke, F. H.
11
1996
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.
10
1999
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
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
9
1997
Lyapunov functions and feedback in nonlinear control. Zbl 1079.93037
Clarke, Francis
9
2004
Periodic solutions of Hamilton’s equations and local minima of the dual action. Zbl 0596.49030
Clarke, Frank H.
9
1985
Multiple integrals of Lipschitz functions in the calculus of variations. Zbl 0411.49015
Clarke, Frank H.
9
1977
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
9
1988
An intermediate existence theory in the calculus of variations. Zbl 0727.49004
Clarke, Frank H.; Loewen, Philip D.
9
1989
The Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
8
1980
The synthesis of universal feedback pursuit strategies in differential games. Zbl 0872.90128
Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1997
Perturbed optimal control problems. Zbl 0587.49026
Clarke, Frank H.
8
1986
The maximum principle in optimal control, then and now. Zbl 1167.49311
Clarke, Francis
7
2005
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
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
The Hamilton-Jacobi equation of minimal time control. Zbl 1072.49018
Clarke, F. H.; Nour, C.
7
2004
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
1999
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
Hamiltonian analysis of the generalized problem of Bolza. Zbl 0621.49011
Clarke, F. H.
6
1987
The multidirectional mean value theorem in Banach spaces. Zbl 0895.49009
Radulescu, M. L.; Clarke, F. H.
5
1997
Multicolorings, measures and games on graphs. Zbl 0328.05110
Clarke, F. H.; Jamison, R. E.
5
1976
Inequality constraints in the calculus of variations. Zbl 0337.49012
Clarke, Frank H.
5
1977
A Lipschitz regularity theorem. Zbl 1138.49032
Clarke, Francis
5
2007
The nonsmooth maximum principle. Zbl 1236.49048
Clarke, F.; do Rosario de Pinho, M.
5
2009
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
State constraints in optimal control: A case study in proximal normal analysis. Zbl 0637.49007
Clarke, Frank H.; Loewen, Philip D.
5
1987
Nonsmooth analysis in control theory: a survey. Zbl 1293.49033
Clarke, Francis
5
2001
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
Maximum principles without differentiability. Zbl 0297.49035
Clarke, Frank H.
4
1975
Necessary conditions for nonsmooth variational problems. Zbl 0327.49015
Clarke, Frank H.
4
1974
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
4
1991
Nonconvex duality in optimal control. Zbl 1086.49002
Clarke, F. H.; Nour, C.
4
2005
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
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
3
1980
Lagrange multipliers, generalized gradients and calmness. Zbl 0442.49017
Clarke, F. H.
3
1980
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
189
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.
26
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
1
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
29
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
7
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
9
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
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.
37
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.
12
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.
10
1999
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
1999
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
644
1998
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
72
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.
132
1997
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
26
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
Geometric approximation on proximal normals. Zbl 0908.49016
Radulescu, M. L.; Clarke, F. H.
1
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
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
13
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.
155
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.
117
1995
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
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.
28
1994
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
16
1994
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
31
1993
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
23
1993
A decoupling principle in the calculus of variations. Zbl 0795.49018
Clarke, F. H.
4
1993
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
3
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.
4
1991
Optimization and nonsmooth analysis. Reprint. Zbl 0696.49002
Clarke, Frank H.
584
1990
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
10
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.
3
1990
Optimization and nonsmooth analysis. Unrev. reprinting of the orig., publ. 1983 by Wiley. Zbl 0727.90045
Clarke, F. H.
822
1989
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
51
1989
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
31
1989
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
21
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
Applications of proximal subgradients. Zbl 0749.49012
Clarke, F. H.
1
1989
Optimization and nonsmooth analysis. (Optimizatsiya i negladkij analiz). Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. (Optimizatsiya i negladkij analiz.) Zbl 0662.49001
Clarke, Frank H.
12
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
41
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
12
1986
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
10
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.
2
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.
70
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.
2
1982
Generalized gradients of Lipschitz functionals. Zbl 0463.49017
Clarke, Frank H.
68
1981
Periodic solutions to Hamiltonian inclusions. Zbl 0461.34030
Clarke, Frank H.
64
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.
87
1980
The Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
8
1980
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
3
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.
58
1979
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
45
1979
A classical variational principle for periodic Hamiltonian trajectories. Zbl 0434.70022
Clarke, Frank H.
25
1979
Optimal control and the true Hamiltonian. Zbl 0408.49025
Clarke, Frank H.
17
1979
Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029
Adams, R. A.; Clarke, Frank H.
12
1979
Pointwise contraction criteria for the existence of fixed points. Zbl 0414.54030
Clarke, Frank H.
15
1978
...and 23 more Documents
all top 5

Cited by 4,985 Authors

86 Migórski, Stanisław
77 Papageorgiou, Nikolaos S.
54 Thibault, Lionel
51 Qi, Liqun
44 Motreanu, Dumitru
44 Sofonea, Mircea
43 Liu, Zhenhai
42 Clarke, Francis H.
42 Vinter, Richard B.
40 Frankowska, Hélène
39 Mordukhovich, Boris S.
37 Ochal, Anna
35 Penot, Jean-Paul
35 Yao, Jen-Chih
34 Gasiński, Leszek
34 Han, Weimin
34 Nobakhtian, Soghra
34 Panagiotopoulos, Panagiotis D.
32 Yang, Xiaoqi
32 Ye, Jane J.
29 Huang, Lihong
27 Sun, Defeng
26 Noor, Muhammad Aslam
26 Zeng, Shengda
26 Zhang, Liwei
25 Carl, Siegfried
24 Borwein, Jonathan Michael
24 Kanzow, Christian
24 Mahmudov, Elimhan Nadir
24 Mishra, Shashi Kant
24 Outrata, Jiří V.
24 Soleimani-damaneh, Majid
23 Cannarsa, Piermarco
23 Chiou, Suh-Wen
23 Teel, Andrew Richard
22 Bounkhel, Messaoud
22 Xiao, Yibin
21 Chen, Xiaojun
21 Ioffe, Alexander Davidovich
21 Jourani, Abderrahim
21 Lewis, Adrian S.
21 Ma, Changfeng
20 Bagirov, Adil M.
20 Huang, Nan-Jing
20 Wang, Shawn Xianfu
20 Xu, Huifu
20 Zaslavski, Alexander Yakovlevich
18 Arutyunov, Aram Vladimirovic
18 Mariconda, Carlo
18 Zheng, Xiyin
17 Adly, Samir
17 Chen, Jein-Shan
17 Dempe, Stephan
17 Jeyakumar, Vaithilingam
17 Kalita, Piotr
17 Liu, Sanyang
17 Zhou, Jinchuan
16 Aseev, Sergei M.
16 Cai, Zuowei
16 Ekeland, Ivar
16 Ledyaev, Yuri Semenovich
16 Pang, Liping
16 Rockafellar, Ralph Tyrrell
16 Toh, Kim Chuan
16 Nguyen Dong Yen
16 Zeidan, Vera Michel
16 Zeng, Biao
15 Alves, Claudianor Oliveira
15 Bettiol, Piernicola
15 Cao, Jinde
15 Craven, Bruce Desmond
15 Daniilidis, Aris
15 de Pinho, Maria do Rosário
15 Dykhta, Vladimir Aleksandrovich
15 Gao, Yan
15 Li, Chong
15 Naniewicz, Zdzisław
15 Ng, Kung-Fu
15 Nour, Chadi
14 Antczak, Tadeusz
14 Bayón, Luis
14 Burke, James V.
14 Colombo, Giovanni
14 Dinh The Luc
14 Loewen, Philip D.
14 Rădulescu, Vicenţiu D.
14 Rifford, Ludovic
14 Sun, Jie
14 Wu, Soon-Yi
14 Yang, Xinmin
13 Bartosz, Krzysztof
13 Figueiredo, Giovany Malcher
13 Goeleven, Daniel
13 Hiriart-Urruty, Jean-Baptiste
13 Kanzi, Nader
13 Liu, Hongwei
13 Nam, Nguyen Mau
13 Pan, Shaohua
13 Pang, Jong-Shi
13 Stern, Ronald Jay
...and 4,885 more Authors
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Cited in 537 Serials

453 Journal of Optimization Theory and Applications
330 Journal of Mathematical Analysis and Applications
281 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
168 Mathematical Programming. Series A. Series B
150 Journal of Global Optimization
140 Nonlinear Analysis. Theory, Methods & Applications
126 Optimization
110 Set-Valued and Variational Analysis
108 Numerical Functional Analysis and Optimization
105 Journal of Differential Equations
104 Systems & Control Letters
96 Automatica
93 Computational Optimization and Applications
84 Applied Mathematics and Optimization
82 Journal of Computational and Applied Mathematics
82 Optimization Letters
81 Applied Mathematics and Computation
80 SIAM Journal on Optimization
74 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
66 Transactions of the American Mathematical Society
63 SIAM Journal on Control and Optimization
53 Optimization Methods & Software
51 Set-Valued Analysis
51 Nonlinear Analysis. Real World Applications
47 Computers & Mathematics with Applications
46 European Journal of Operational Research
43 Abstract and Applied Analysis
39 Journal of Convex Analysis
38 Neural Networks
38 Proceedings of the Steklov Institute of Mathematics
35 Journal of Mathematical Economics
35 Proceedings of the American Mathematical Society
34 Calculus of Variations and Partial Differential Equations
33 Journal of the Franklin Institute
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
32 Journal of Applied Mathematics and Computing
31 International Journal of Control
29 Journal of Industrial and Management Optimization
26 Applied Mathematics Letters
26 Journal of Mathematical Sciences (New York)
26 Positivity
25 Journal of Inequalities and Applications
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
24 Journal of Functional Analysis
24 Journal of Dynamical and Control Systems
22 Computer Methods in Applied Mechanics and Engineering
21 Archive for Rational Mechanics and Analysis
21 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Journal of Economic Theory
20 Applicable Analysis
20 Numerical Algorithms
20 International Journal of Robust and Nonlinear Control
20 European Journal of Control
20 Mathematical Methods of Operations Research
19 Mathematical Programming
19 Annals of Operations Research
19 Linear Algebra and its Applications
19 Discrete and Continuous Dynamical Systems. Series B
18 International Journal of Computer Mathematics
18 Nonlinear Analysis. Hybrid Systems
17 Mathematical Notes
17 Computational and Applied Mathematics
17 Discrete and Continuous Dynamical Systems
17 Mathematical Problems in Engineering
16 Automation and Remote Control
15 Mathematical Biosciences
15 Numerische Mathematik
15 Rendiconti del Circolo Matemàtico di Palermo. Serie II
15 MCSS. Mathematics of Control, Signals, and Systems
15 Communications in Nonlinear Science and Numerical Simulation
15 Journal of Applied Mathematics
14 Mathematische Nachrichten
14 Operations Research Letters
14 Journal of Economic Dynamics & Control
14 Journal of Scientific Computing
14 Applied Mathematical Modelling
14 Russian Mathematics
14 Vietnam Journal of Mathematics
14 Differential Equations
13 Information Sciences
13 Acta Mathematicae Applicatae Sinica. English Series
13 Mathematical and Computer Modelling
13 Applications of Mathematics
13 Cybernetics and Systems Analysis
13 NoDEA. Nonlinear Differential Equations and Applications
13 Journal of Systems Science and Complexity
12 Bulletin of the Australian Mathematical Society
12 Chaos, Solitons and Fractals
12 Cybernetics
12 Applied Mathematics and Mechanics. (English Edition)
12 Top
12 Boundary Value Problems
12 Science China. Mathematics
12 Mathematical Control and Related Fields
11 Israel Journal of Mathematics
11 Journal of Approximation Theory
11 SIAM Journal on Numerical Analysis
11 Siberian Mathematical Journal
11 Journal of Information & Optimization Sciences
11 Journal of Elasticity
...and 437 more Serials
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Cited in 55 Fields

2,833 Calculus of variations and optimal control; optimization (49-XX)
2,146 Operations research, mathematical programming (90-XX)
778 Systems theory; control (93-XX)
752 Numerical analysis (65-XX)
661 Partial differential equations (35-XX)
650 Ordinary differential equations (34-XX)
519 Operator theory (47-XX)
347 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
325 Global analysis, analysis on manifolds (58-XX)
323 Real functions (26-XX)
268 Mechanics of deformable solids (74-XX)
243 Functional analysis (46-XX)
180 Dynamical systems and ergodic theory (37-XX)
161 Biology and other natural sciences (92-XX)
112 Computer science (68-XX)
99 General topology (54-XX)
97 Mechanics of particles and systems (70-XX)
96 Convex and discrete geometry (52-XX)
88 Probability theory and stochastic processes (60-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
71 Differential geometry (53-XX)
70 Statistics (62-XX)
56 Measure and integration (28-XX)
51 Fluid mechanics (76-XX)
41 Approximations and expansions (41-XX)
40 Combinatorics (05-XX)
33 Information and communication theory, circuits (94-XX)
27 Difference and functional equations (39-XX)
17 Algebraic geometry (14-XX)
16 Integral equations (45-XX)
15 Manifolds and cell complexes (57-XX)
12 Optics, electromagnetic theory (78-XX)
11 Quantum theory (81-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Mathematical logic and foundations (03-XX)
9 Algebraic topology (55-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Relativity and gravitational theory (83-XX)
5 History and biography (01-XX)
5 Functions of a complex variable (30-XX)
5 Geometry (51-XX)
4 General and overarching topics; collections (00-XX)
4 Nonassociative rings and algebras (17-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geophysics (86-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Mathematics education (97-XX)

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