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Clarke, Francis H.

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Author ID: clarke.francis-h Recent zbMATH articles by "Clarke, Francis H."
Published as: Clarke, F.; Clarke, F. H.; Clarke, Francis; Clarke, Francis H.; Clarke, Frank; Clarke, Frank H.; Clarke, Franke H.
Homepage: http://math.univ-lyon1.fr/~clarke/
External Links: MGP · Wikidata
Documents Indexed: 145 Publications since 1972, including 12 Books
Biographic References: 1 Publication
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

Publications by Year

Citations contained in zbMATH

123 Publications have been cited 7,733 times in 5,253 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.
811
1989
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
671
1998
Optimization and nonsmooth analysis. Reprint. Zbl 0696.49002
Clarke, Frank H.
539
1990
Generalized gradients and applications. Zbl 0307.26012
Clarke, Frank H.
377
1975
A new approach to Lagrange multipliers. Zbl 0404.90100
Clarke, Frank H.
213
1976
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
138
2013
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
128
1995
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
115
1997
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
112
1995
On the inverse function theorem. Zbl 0331.26013
Clarke, F. H.
110
1976
Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016
Clarke, F. H.; Ekeland, I.
78
1980
Generalized gradients of Lipschitz functionals. Zbl 0463.49017
Clarke, Frank H.
68
1981
Periodic solutions to Hamiltonian inclusions. Zbl 0461.34030
Clarke, Frank H.
63
1981
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
62
1989
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
62
1985
The maximum principle under minimal hypotheses. Zbl 0344.49009
Clarke, Frank H.
62
1976
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
57
1998
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
55
1979
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
44
1979
Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032
Clarke, Frank H.; Ekeland, I.
39
1982
The relationship between the maximum principle and dynamic programming. Zbl 0642.49014
Clarke, Franke H.; Vinter, Richard B
37
1987
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
33
2000
Necessary conditions in dynamic optimization. Zbl 1093.49017
Clarke, Francis
26
2005
Optimal multiprocesses. Zbl 0684.49007
Clarke, Frank H.; Vinter, Richard B.
26
1989
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
25
1997
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
25
1994
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
25
1993
The generalized problem of Bolza. Zbl 0333.49023
Clarke, Frank H.
24
1976
The Euler-Lagrange differential inclusion. Zbl 0323.49021
Clarke, Frank H.
24
1975
A classical variational principle for periodic Hamiltonian trajectories. Zbl 0434.70022
Clarke, Frank H.
23
1979
Admissible relaxation in variational and control problems. Zbl 0326.49031
Clarke, Frank H.
23
1975
Regularity, existence and necessary conditions for the basic problem in the calculus of variations. Zbl 0612.49002
Clarke, F. H.
21
1987
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
21
1977
Optimal solutions to differential inclusions. Zbl 0307.49042
Clarke, F. H.
21
1976
Optimal control problems with mixed constraints. Zbl 1208.49018
Clarke, Francis; De Pinho, M. R.
19
2010
Local optimality conditions and Lipschitzian solutions to the Hamilton- Jacobi equation. Zbl 0528.49019
Clarke, Frank H.; Vinter, Richard B.
19
1983
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
18
1993
Applications of optimal multiprocesses. Zbl 0695.49014
Clarke, Frank H.; Vinter, Richard B.
17
1989
On the conditions under which the Euler equation or the maximum principle hold. Zbl 0559.49012
Clarke, Frank H.; Vinter, R. B.
17
1984
Optimal control and the true Hamiltonian. Zbl 0408.49025
Clarke, Frank H.
17
1979
Extremal arcs and extended Hamiltonian systems. Zbl 0369.49011
Clarke, Frank H.
17
1977
The value function in optimal control: Sensitivity, controllability, and time-optimality. Zbl 0601.49020
Clarke, Frank H.; Loewen, Philip D.
16
1986
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
16
1985
Continuity of solutions to a basic problem in the calculus of variations. Zbl 1127.49001
Clarke, Francis
15
2005
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
14
1994
Necessary conditions, controllability and the value function for differential-difference inclusions. Zbl 0609.49013
Clarke, Frank H.; Watkins, Gavin G.
14
1986
Pointwise contraction criteria for the existence of fixed points. Zbl 0414.54030
Clarke, Frank H.
14
1978
A graph polynomial and its applications. Zbl 0244.05111
Clarke, Frank H.
14
1972
Feedback in state constrained optimal control. Zbl 1033.49004
Clarke, Francis H.; Rifford, Ludovic; Stern, R. J.
13
2002
Optimization and nonsmooth analysis. (Optimizatsiya i negladkij analiz). Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. Zbl 0662.49001
Clarke, Frank H.
13
1988
Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029
Adams, R. A.; Clarke, Frank H.
13
1979
A proximal characterization of the reachable set. Zbl 0866.93008
Clarke, F. H.
10
1996
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
10
1996
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
10
1990
An intermediate existence theory in the calculus of variations. Zbl 0727.49004
Clarke, Frank H.; Loewen, Philip D.
10
1989
Sufficiency and the Jacobi condition in the calculus of variations. Zbl 0661.49010
Clarke, Frank H.; Zeidan, Vera
10
1986
Regularity of solutions to variational problems with polynomial Lagrangians. Zbl 0598.49013
Clarke, Frank H.; Vinter, Richard B.
10
1986
Solution périodique des équations hamiltoniennes. Zbl 0422.35005
Clarke, Frank H.
10
1978
Local Lipschitz continuity of solutions to a problem in the calculus of variations. Zbl 1141.49033
Bousquet, Pierre; Clarke, Francis
9
2007
Partial subdifferentials, derivates and Rademacher’s theorem. Zbl 0924.49013
Bessis, D. N.; Clarke, F. H.
9
1999
Periodic solutions of Hamilton’s equations and local minima of the dual action. Zbl 0596.49030
Clarke, Frank H.
9
1985
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.
8
1999
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
8
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
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
8
1988
Perturbed optimal control problems. Zbl 0587.49026
Clarke, Frank H.
8
1986
Multiple integrals of Lipschitz functions in the calculus of variations. Zbl 0411.49015
Clarke, Frank H.
8
1977
The maximum principle in optimal control, then and now. Zbl 1167.49311
Clarke, Francis
7
2005
Lyapunov functions and feedback in nonlinear control. Zbl 1079.93037
Clarke, Francis
7
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
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
Intersection formulas in nonsmooth analysis. Zbl 0746.49015
Clarke, F. H.; Raissi, N.
7
1990
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 Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
6
1980
Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105
Aubin, Jean-Pierre; Clarke, Frank H.
6
1977
Necessary conditions for a general control problem. Zbl 0344.49017
Clarke, Frank H.
6
1976
Nonsmooth analysis in control theory: a survey. Zbl 1293.49033
Clarke, Francis
5
2001
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
The multidirectional mean value theorem in Banach spaces. Zbl 0895.49009
Radulescu, M. L.; Clarke, F. H.
5
1997
State constraints in optimal control: A case study in proximal normal analysis. Zbl 0637.49007
Clarke, Frank H.; Loewen, Philip D.
5
1987
Multicolorings, measures and games on graphs. Zbl 0328.05110
Clarke, F. H.; Jamison, R. E.
5
1976
Necessary conditions for nonsmooth variational problems. Zbl 0327.49015
Clarke, Frank H.
5
1974
A general theorem on necessary conditions in optimal control. Zbl 1214.49018
Clarke, Francis
4
2011
A Lipschitz regularity theorem. Zbl 1138.49032
Clarke, Francis
4
2007
Nonconvex duality in optimal control. Zbl 1086.49002
Clarke, F. H.; Nour, C.
4
2005
Hamilton-Jacobi characterization of the state constrained value. Zbl 1098.49005
Clarke, F. H.; Stern, R. J.
4
2005
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1999
Fixed point theory via nonsmooth analysis. Zbl 0874.47032
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1997
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
4
1993
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
4
1991
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
4
1980
Inequality constraints in the calculus of variations. Zbl 0337.49012
Clarke, Frank H.
4
1977
Maximum principles without differentiability. Zbl 0297.49035
Clarke, Frank H.
4
1975
An extension of the Schwarzkopf multiplier rule in optimal control. Zbl 1218.49027
Clarke, Francis; Ledyaev, Yuri; de Pinho, Maria do Rosário
3
2011
The nonsmooth maximum principle. Zbl 1236.49048
Clarke, F.; do Rosario de Pinho, M.
3
2009
Functional analysis, calculus of variations and optimal control. Zbl 1277.49001
Clarke, Francis
138
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
3
2011
Optimal control problems with mixed constraints. Zbl 1208.49018
Clarke, Francis; De Pinho, M. R.
19
2010
The nonsmooth maximum principle. Zbl 1236.49048
Clarke, F.; do Rosario de Pinho, M.
3
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
9
2007
A Lipschitz regularity theorem. Zbl 1138.49032
Clarke, Francis
4
2007
Lipschitzian continuity of solutions for a problem in the calculus of variations. Zbl 1134.49023
Bousquet, Pierre; Clarke, Francis
1
2006
Necessary conditions in dynamic optimization. Zbl 1093.49017
Clarke, Francis
26
2005
Continuity of solutions to a basic problem in the calculus of variations. Zbl 1127.49001
Clarke, Francis
15
2005
The maximum principle in optimal control, then and now. Zbl 1167.49311
Clarke, Francis
7
2005
Nonconvex duality in optimal control. Zbl 1086.49002
Clarke, F. H.; Nour, C.
4
2005
Hamilton-Jacobi characterization of the state constrained value. Zbl 1098.49005
Clarke, F. H.; Stern, R. J.
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
7
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.
13
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.
33
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.
9
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.
8
1999
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1999
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
671
1998
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
57
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.
115
1997
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
25
1997
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
8
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
A proximal characterization of the reachable set. Zbl 0866.93008
Clarke, F. H.
10
1996
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
10
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.
128
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.
112
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.
25
1994
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
14
1994
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
25
1993
An indirect method in the calculus of variations. Zbl 0780.49016
Clarke, F. H.
18
1993
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
4
1993
A decoupling principle in the calculus of variations. Zbl 0795.49018
Clarke, F. H.
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.
539
1990
Regularity properties of optimal controls. Zbl 0715.49039
Clarke, F. H.; Vinter, R. B.
10
1990
Intersection formulas in nonsmooth analysis. 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.
1
1990
Optimization and nonsmooth analysis. Unrev. reprinting of the orig., publ. 1983 by Wiley. Zbl 0727.90045
Clarke, F. H.
811
1989
Methods of dynamic and nonsmooth optimization. Zbl 0696.49003
Clarke, Frank H.
62
1989
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
An intermediate existence theory in the calculus of variations. Zbl 0727.49004
Clarke, Frank H.; Loewen, Philip D.
10
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. Zbl 0662.49001
Clarke, Frank H.
13
1988
Differential inclusions with free time. Zbl 0672.49019
Loewen, Philip D.; Clarke, Frank H.; Vinter, Richard B.
8
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
37
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.
2
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
10
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
On connections between the maximum principle and the dynamic programming technique. Zbl 0602.49019
Clarke, F. H.; Vinter, R.
2
1986
Tonelli’s regularity theory in the calculus of variations: Recent progress. Zbl 0589.49012
Clarke, F. H.
2
1986
Regularity properties of solutions to the basic problem in the calculus of variations. Zbl 0563.49009
Clarke, F. H.; Vinter, R. B.
62
1985
Existence and regularity in the small in the calculus of variations. Zbl 0727.49003
Clarke, Frank H.; Vinter, R. B.
16
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.
19
1983
Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032
Clarke, Frank H.; Ekeland, I.
39
1982
On Hamiltonian flows and symplectic transformations. Zbl 0506.58012
Clarke, Frank H.
1
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.
63
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.
78
1980
The Erdmann condition and Hamiltonian inclusions in optimal control and the calculus of variations. Zbl 0461.49007
Clarke, Frank H.
6
1980
Nonsmooth analysis and optimization. Zbl 0425.90081
Clarke, Frank H.
4
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.
55
1979
The optimal exploitation of renewable resource stocks: Problems of irreversible investment. Zbl 0396.90026
Clark, Colin W.; Clarke, Frank H.; Munro, Gordon R.
44
1979
A classical variational principle for periodic Hamiltonian trajectories. Zbl 0434.70022
Clarke, Frank H.
23
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.
13
1979
Pointwise contraction criteria for the existence of fixed points. Zbl 0414.54030
Clarke, Frank H.
14
1978
...and 23 more Documents
all top 5

Cited by 4,666 Authors

74 Papageorgiou, Nikolaos S.
72 Migórski, Stanisław
49 Qi, Liqun
42 Clarke, Francis H.
41 Vinter, Richard B.
40 Sofonea, Mircea
39 Motreanu, Dumitru
38 Thibault, Lionel
37 Liu, Zhenhai
36 Frankowska, Hélène
34 Mordukhovich, Boris S.
34 Ochal, Anna
34 Penot, Jean-Paul
33 Huang, Lihong
33 Panagiotopoulos, Panagiotis D.
32 Yang, Xiaoqi
31 Gasiński, Leszek
31 Nobakhtian, Soghra
28 Ye, Jane J.
27 Yao, Jen-Chih
26 Carl, Siegfried
26 Sun, Defeng
25 Noor, Muhammad Aslam
24 Borwein, Jonathan Michael
24 Chiou, Suh-Wen
24 Han, Weimin
24 Soleimani-damaneh, Majid
24 Teel, Andrew Richard
24 Zhang, Liwei
23 Kanzow, Christian
23 Outrata, Jiří V.
22 Bounkhel, Messaoud
22 Cannarsa, Piermarco
22 Ioffe, Alexander Davidovich
21 Ma, Changfeng
20 Chen, Xiaojun
20 Lewis, Adrian S.
20 Mishra, Shashi Kant
20 Wang, Shawn Xianfu
20 Xu, Huifu
20 Zaslavski, Alexander Yakovlevich
19 Bagirov, Adil M.
19 Mahmudov, Elimhan N.
18 Cao, Jinde
17 Chen, Jein-Shan
17 Huang, Nan-Jing
17 Jeyakumar, Vaithilingam
17 Kalita, Piotr
17 Liu, Sanyang
17 Rockafellar, Ralph Tyrrell
17 Zheng, Xiyin
16 Ekeland, Ivar
16 Ledyaev, Yuri Semenovich
16 Xiao, Yibin
15 Arutyunov, Aram Vladimirovic
15 Craven, Bruce Desmond
15 Daniilidis, Aris
15 Dykhta, Vladimir Aleksandrovich
15 Naniewicz, Zdzisław
15 Pang, Liping
15 Zeidan, Vera Michel
15 Zhou, Jinchuan
14 Antczak, Tadeusz
14 Aseev, Sergei M.
14 Bayón, Luis
14 Cai, Zuowei
14 Dempe, Stephan
14 Dinh The Luc
14 Gao, Yan
14 Li, Chong
14 Loewen, Philip D.
14 Ng, Kung-Fu
14 Rifford, Ludovic
14 Sun, Jie
14 Toh, Kimchuan
14 Yang, Xinmin
14 Nguyen Dong Yen
13 Adly, Samir
13 Burke, James V.
13 Colombo, Giovanni
13 de Pinho, Maria do Rosário
13 Hiriart-Urruty, Jean-Baptiste
13 Jourani, Abdeljalil
13 Liu, Hongwei
13 Mariconda, Carlo
13 Nam, Nguyen Mau
13 Nour, Chadi
13 Stern, Ronald Jay
13 Suárez, Pedro Maria
12 Azhmyakov, Vadim
12 Barton, Paul I.
12 Bartosz, Krzysztof
12 Figueiredo, Giovany Malcher
12 Goebel, Rafal
12 Kasyanov, Pavlo O.
12 Kim, Do Sang
12 Kristály, Alexandru
12 Kummer, Bernd
12 Mäkelä, Marko Mikael
12 Noll, Dominikus
...and 4,566 more Authors
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Cited in 473 Serials

418 Journal of Optimization Theory and Applications
326 Journal of Mathematical Analysis and Applications
291 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
159 Mathematical Programming. Series A. Series B
142 Nonlinear Analysis. Theory, Methods & Applications
140 Journal of Global Optimization
121 Optimization
100 Systems & Control Letters
97 Numerical Functional Analysis and Optimization
94 Set-Valued and Variational Analysis
92 Automatica
90 Journal of Differential Equations
84 Applied Mathematics and Computation
79 Computational Optimization and Applications
78 Journal of Computational and Applied Mathematics
75 Optimization Letters
72 Applied Mathematics and Optimization
65 Transactions of the American Mathematical Society
64 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
62 SIAM Journal on Optimization
51 Set-Valued Analysis
47 European Journal of Operational Research
47 Nonlinear Analysis. Real World Applications
46 SIAM Journal on Control and Optimization
45 Computers & Mathematics with Applications
42 Abstract and Applied Analysis
42 Optimization Methods & Software
41 Neural Networks
37 Journal of Mathematical Economics
35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
35 Proceedings of the Steklov Institute of Mathematics
34 Proceedings of the American Mathematical Society
31 Calculus of Variations and Partial Differential Equations
30 Journal of Applied Mathematics and Computing
27 Journal of the Franklin Institute
26 Journal of Mathematical Sciences (New York)
25 International Journal of Control
25 Applied Mathematics Letters
23 Computer Methods in Applied Mechanics and Engineering
23 Journal of Dynamical and Control Systems
22 Positivity
22 Journal of Industrial and Management Optimization
21 Archive for Rational Mechanics and Analysis
21 Journal of Functional Analysis
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Annali di Matematica Pura ed Applicata. Serie Quarta
20 Journal of Economic Theory
20 International Journal of Robust and Nonlinear Control
19 Mathematical Programming
19 Journal of Convex Analysis
19 European Journal of Control
19 Mathematical Methods of Operations Research
19 Discrete and Continuous Dynamical Systems. Series B
18 Linear Algebra and its Applications
17 Numerical Algorithms
17 Mathematical Problems in Engineering
16 Mathematical Notes
16 Annals of Operations Research
16 Applied Mathematical Modelling
16 International Journal of Computer Mathematics
16 Nonlinear Analysis. Hybrid Systems
15 Applicable Analysis
15 Information Sciences
15 Operations Research Letters
15 Mathematical and Computer Modelling
15 Automation and Remote Control
15 Journal of Inequalities and Applications
15 Journal of Applied Mathematics
14 Mathematische Nachrichten
14 Numerische Mathematik
14 Journal of Economic Dynamics & Control
14 MCSS. Mathematics of Control, Signals, and Systems
14 Russian Mathematics
13 Mathematical Biosciences
13 Acta Mathematicae Applicatae Sinica. English Series
13 Applications of Mathematics
13 Discrete and Continuous Dynamical Systems
13 Vietnam Journal of Mathematics
13 Differential Equations
13 Journal of Systems Science and Complexity
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Cybernetics
12 Applied Mathematics and Mechanics. (English Edition)
12 Cybernetics and Systems Analysis
12 NoDEA. Nonlinear Differential Equations and Applications
11 Bulletin of the Australian Mathematical Society
11 Journal of Approximation Theory
11 Journal of Information & Optimization Sciences
11 Economic Theory
11 Top
11 Doklady Mathematics
10 Rocky Mountain Journal of Mathematics
10 Chaos, Solitons and Fractals
10 Prikladnaya Matematika i Mekhanika
10 SIAM Journal on Numerical Analysis
10 Siberian Mathematical Journal
10 Computational and Applied Mathematics
10 Acta Mathematica Sinica. English Series
10 Mathematical Control and Related Fields
10 Evolution Equations and Control Theory
...and 373 more Serials
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Cited in 56 Fields

2,587 Calculus of variations and optimal control; optimization (49-XX)
1,929 Operations research, mathematical programming (90-XX)
705 Systems theory; control (93-XX)
655 Numerical analysis (65-XX)
585 Ordinary differential equations (34-XX)
556 Partial differential equations (35-XX)
449 Operator theory (47-XX)
323 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
296 Global analysis, analysis on manifolds (58-XX)
290 Real functions (26-XX)
227 Mechanics of deformable solids (74-XX)
218 Functional analysis (46-XX)
171 Dynamical systems and ergodic theory (37-XX)
153 Biology and other natural sciences (92-XX)
91 General topology (54-XX)
87 Computer science (68-XX)
86 Mechanics of particles and systems (70-XX)
74 Convex and discrete geometry (52-XX)
71 Probability theory and stochastic processes (60-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
56 Statistics (62-XX)
53 Differential geometry (53-XX)
49 Measure and integration (28-XX)
40 Fluid mechanics (76-XX)
34 Combinatorics (05-XX)
34 Approximations and expansions (41-XX)
27 Difference and functional equations (39-XX)
25 Information and communication theory, circuits (94-XX)
13 Algebraic geometry (14-XX)
11 Integral equations (45-XX)
11 Manifolds and cell complexes (57-XX)
11 Quantum theory (81-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Algebraic topology (55-XX)
9 Optics, electromagnetic theory (78-XX)
8 Mathematical logic and foundations (03-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 General and overarching topics; collections (00-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Relativity and gravitational theory (83-XX)
5 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
4 Geophysics (86-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
1 General algebraic systems (08-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 Mathematics education (97-XX)

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