-
1
-
-
0002230594
-
The Euler-Lagrange differential inclusion
-
Clarke F.H. The Euler-Lagrange differential inclusion. J. Differential Equations. 19:1975;80-90.
-
(1975)
J. Differential Equations
, vol.19
, pp. 80-90
-
-
Clarke, F.H.1
-
2
-
-
0016973122
-
Optimal solutions to differential inclusions
-
Clarke F.H. Optimal solutions to differential inclusions. J. Optim. Theory Appl. 19:1976;469-478.
-
(1976)
J. Optim. Theory Appl.
, vol.19
, pp. 469-478
-
-
Clarke, F.H.1
-
3
-
-
0242627486
-
Extremal arcs and extended Hamiltonian systems
-
Clarke F.H. Extremal arcs and extended Hamiltonian systems. Trans. Amer. Math. Soc. 64:1977;349-367.
-
(1977)
Trans. Amer. Math. Soc.
, vol.64
, pp. 349-367
-
-
Clarke, F.H.1
-
4
-
-
0003859933
-
-
Wiley Interscience, New York
-
F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley Interscience, New York, 1983. (Reprinted as vol. 5, Classics in Applied Mathematics, Philadelphia, Pa., 1990; Russian translation: Nauka Press, Moscow, 1988).
-
(1983)
Optimization and Nonsmooth Analysis
-
-
Clarke, F.H.1
-
5
-
-
0005658675
-
-
Reprinted as Philadelphia, Pa. Russian translation: Nauka Press, Moscow, 1988
-
F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley Interscience, New York, 1983. (Reprinted as vol. 5, Classics in Applied Mathematics, Philadelphia, Pa., 1990; Russian translation: Nauka Press, Moscow, 1988).
-
(1990)
Classics in Applied Mathematics
, vol.5
-
-
-
6
-
-
84967773289
-
Hamiltonian analysis of the generalized problem of Bolza
-
Clarke F.H. Hamiltonian analysis of the generalized problem of Bolza. Trans. Amer. Math. Soc. 301:1987;385-400.
-
(1987)
Trans. Amer. Math. Soc.
, vol.301
, pp. 385-400
-
-
Clarke, F.H.1
-
7
-
-
0003225812
-
Methods of dynamic and nonsmooth optimization
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia
-
F.H. Clarke, Methods of dynamic and nonsmooth optimization, CBMS-NSF Regional conference in Appl. Math., vol. 57, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 1989.
-
(1989)
CBMS-NSF Regional Conference in Appl. Math.
, vol.57
-
-
Clarke, F.H.1
-
9
-
-
0003904892
-
-
Springer, New York
-
F.H. Clarke, Yu.S. Ledyaev, R.J. Stern, P.R. Wolenski, Nonsmooth Analysis and Control Theory, Graduate Texts in Mathematics, vol. 178, Springer, New York, 1998.
-
(1998)
Nonsmooth Analysis and Control Theory, Graduate Texts in Mathematics
, vol.178
-
-
Clarke, F.H.1
Ledyaev, Yu.s.2
Stern, R.J.3
Wolenski, P.R.4
-
11
-
-
21744456348
-
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization
-
Ioffe A.D. Euler-Lagrange and Hamiltonian formalisms in dynamic optimization. Trans. Amer. Math. Soc. 349:1997;2871-2900.
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, pp. 2871-2900
-
-
Ioffe, A.D.1
-
13
-
-
0003239028
-
Optimal control via nonsmooth analysis
-
American Mathematical Society, Providence, RI
-
P.D. Loewen, Optimal control via nonsmooth analysis, CRM Proc. Lecture Notes, vol. 2, American Mathematical Society, Providence, RI, 1993.
-
(1993)
CRM Proc. Lecture Notes
, vol.2
-
-
Loewen, P.D.1
-
15
-
-
0028396661
-
Optimal control of unbounded differential inclusions
-
Loewen P.D., Rockafellar R.T. Optimal control of unbounded differential inclusions. SIAM J. Control Optim. 32:1994;442-470.
-
(1994)
SIAM J. Control Optim.
, vol.32
, pp. 442-470
-
-
Loewen, P.D.1
Rockafellar, R.T.2
-
16
-
-
0001254208
-
Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems
-
Mordukhovich B.S. Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems. Soviet Math. Dokl. 22:1980;526-530.
-
(1980)
Soviet Math. Dokl.
, vol.22
, pp. 526-530
-
-
Mordukhovich, B.S.1
-
17
-
-
0029307052
-
Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions
-
Mordukhovich B.S. Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions. SIAM J. Control Optim. 33:1995;882-915.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 882-915
-
-
Mordukhovich, B.S.1
-
18
-
-
0004267646
-
-
Princeton Univ. Press, Princeton, NJ
-
R.T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
19
-
-
84966203576
-
Existence and duality theorems for convex problems of Bolza
-
Rockafellar R.T. Existence and duality theorems for convex problems of Bolza. Trans. Amer. Math. Soc. 159:1971;1-40.
-
(1971)
Trans. Amer. Math. Soc.
, vol.159
, pp. 1-40
-
-
Rockafellar, R.T.1
-
20
-
-
0030191882
-
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis
-
Rockafellar R.T. Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. SIAM J. Control Optim. 34:1996;1300-1314.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 1300-1314
-
-
Rockafellar, R.T.1
-
21
-
-
0003345597
-
Variational analysis
-
Springer, Berlin
-
R.T. Rockafellar, J-B.R. Wets, Variational analysis, Grundlehren der Mathematischen Wissenschaften 317, Springer, Berlin, 1998.
-
(1998)
Grundlehren der Mathematischen Wissenschaften
, vol.317
-
-
Rockafellar, R.T.1
Wets, J.-B.R.2
-
22
-
-
0025927009
-
Discrete approximations and optimal solutions of differential inclusions (Russian)
-
G.V. Smirnov, Discrete approximations and optimal solutions of differential inclusions (Russian), Kibernetika (Kiev) 98 (1991), 76-79; translation in Cybernetics 27 (1991) 101-107.
-
(1991)
Kibernetika (Kiev)
, vol.98
, pp. 76-79
-
-
Smirnov, G.V.1
-
23
-
-
0043028111
-
-
translation in
-
G.V. Smirnov, Discrete approximations and optimal solutions of differential inclusions (Russian), Kibernetika (Kiev) 98 (1991), 76-79; translation in Cybernetics 27 (1991) 101-107.
-
(1991)
Cybernetics
, vol.27
, pp. 101-107
-
-
-
24
-
-
0030815471
-
The extended Euler-Lagrange condition for nonconvex variational problems
-
Vinter R.B., Zheng H. The extended Euler-Lagrange condition for nonconvex variational problems. SIAM J. Control Optim. 35(1):1997;56-77.
-
(1997)
SIAM J. Control Optim.
, vol.35
, Issue.1
, pp. 56-77
-
-
Vinter, R.B.1
Zheng, H.2
-
25
-
-
21944450668
-
Necessary conditions for optimal control problems with state constraints
-
Vinter R.B., Zheng H. Necessary conditions for optimal control problems with state constraints. Trans. Amer. Math. Soc. 350(3):1998;1181-1204.
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, Issue.3
, pp. 1181-1204
-
-
Vinter, R.B.1
Zheng, H.2
|