-
1
-
-
0042614489
-
On the necessary conditions for optimal control of retarded systems
-
T.S. Angell and A. Kirsch, On the necessary conditions for optimal control of retarded systems, Appl. Math. Optim. 22 (1990) 117-145.
-
(1990)
Appl. Math. Optim.
, vol.22
, pp. 117-145
-
-
Angell, T.S.1
Kirsch, A.2
-
3
-
-
0016114904
-
Applications of abstract variational theory to hereditary systems - A survey
-
H.T. Banks and A. Manitius, Applications of abstract variational theory to hereditary systems - a survey, IEEE Trans. Automat. Control 19 (1974) 524-533.
-
(1974)
IEEE Trans. Automat. Control
, vol.19
, pp. 524-533
-
-
Banks, H.T.1
Manitius, A.2
-
5
-
-
0001563557
-
Necessary conditions, controllability and the value function for differential-difference inclusions
-
F.H. Clarke and G.G. Watkins, Necessary conditions, controllability and the value function for differential-difference inclusions, Nonlinear Anal. 10 (1986) 1155-1179.
-
(1986)
Nonlinear Anal.
, vol.10
, pp. 1155-1179
-
-
Clarke, F.H.1
Watkins, G.G.2
-
6
-
-
0030182214
-
Necessary conditions for functional differential inclusions
-
F.H. Clarke and P.R. Wolenski, Necessary conditions for functional differential inclusions, Appl. Math. Optim. 34 (1996) 34-51.
-
(1996)
Appl. Math. Optim.
, vol.34
, pp. 34-51
-
-
Clarke, F.H.1
Wolenski, P.R.2
-
7
-
-
0024775797
-
Error estimates for discretized differential inclusions
-
A.L. Dontchev and E.M. Farkhi, Error estimates for discretized differential inclusions, Computing 41 (1989) 349-358.
-
(1989)
Computing
, vol.41
, pp. 349-358
-
-
Dontchev, A.L.1
Farkhi, E.M.2
-
8
-
-
0016092731
-
On the variational principle
-
I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974) 324-353.
-
(1974)
J. Math. Anal. Appl.
, vol.47
, pp. 324-353
-
-
Ekeland, I.1
-
10
-
-
0023090297
-
The maximum principle for an optimal solution to differential inclusions
-
H. Frankowska, The maximum principle for an optimal solution to differential inclusions, SIAM J. Control Optim. 25 (1987) 147-157.
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 147-157
-
-
Frankowska, H.1
-
11
-
-
21744456348
-
Euler-Lagrange and Hamiltonian formalisms in dynamic optimization
-
A.D. Ioffe, 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
-
-
0038992398
-
Maximum principle in the theory of optimum time-delay processes
-
G.L. Kharatishvili, Maximum principle in the theory of optimum time-delay processes, Dokl. Akad. Nauk USSR 136 (1961) 39-42.
-
(1961)
Dokl. Akad. Nauk USSR
, vol.136
, pp. 39-42
-
-
Kharatishvili, G.L.1
-
14
-
-
0031268176
-
Bolza problems with general time constraints
-
P.D. Loewen and R.T. Rockafellar, Bolza problems with general time constraints, SIAM J. Control Optim. 35 (1997) 2050-2069.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 2050-2069
-
-
Loewen, P.D.1
Rockafellar, R.T.2
-
15
-
-
0033078383
-
Necessary optimality conditions for differential-difference inclusions
-
L.I. Minchenko, Necessary optimality conditions for differential-difference inclusions, Nonlinear Anal. 35 (1999) 307-322.
-
(1999)
Nonlinear Anal.
, vol.35
, pp. 307-322
-
-
Minchenko, L.I.1
-
16
-
-
33646940121
-
Maximum principle in problems of time optimal control with nonsmooth constraints
-
B.S. Mordukhovich, Maximum principle in problems of time optimal control with nonsmooth constraints, J. Appl. Math. Mech. 40 (1976) 960-969.
-
(1976)
J. Appl. Math. Mech.
, vol.40
, pp. 960-969
-
-
Mordukhovich, B.S.1
-
17
-
-
0001254208
-
Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems
-
B.S. Mordukhovich, 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
-
19
-
-
84966250815
-
Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions
-
B.S. Mordukhovich, Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions, Trans. Amer. Math. Soc. 340 (1993) 1-35.
-
(1993)
Trans. Amer. Math. Soc.
, vol.340
, pp. 1-35
-
-
Mordukhovich, B.S.1
-
20
-
-
0029307052
-
Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions
-
B.S. Mordukhovich, 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
-
21
-
-
84873001042
-
-
Preprint, Department of Mathematics, Wayne State University, Detroit, MI
-
B.S. Mordukhovich and R. Trubnik, Discrete approximations and necessary optimality conditions for nonconvex delay-differential inclusions, Preprint, Department of Mathematics, Wayne State University, Detroit, MI (1999).
-
(1999)
Discrete Approximations and Necessary Optimality Conditions for Nonconvex Delay-differential Inclusions
-
-
Mordukhovich, B.S.1
Trubnik, R.2
-
22
-
-
0010810191
-
An approach to differentiation of multifunctions and necessary optimality conditions for differential inclusions
-
E.S. Polovinkin and G.V. Smirnov, An approach to differentiation of multifunctions and necessary optimality conditions for differential inclusions, Differential Equations 22 (1986) 660-668.
-
(1986)
Differential Equations
, vol.22
, pp. 660-668
-
-
Polovinkin, E.S.1
Smirnov, G.V.2
-
23
-
-
0030191882
-
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange conditions in variational analysis
-
R.T. Rockafellar, Equivalent subgradient versions of Hamiltonian and Euler-Lagrange conditions 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
-
25
-
-
0002671270
-
Geometry and optimal control
-
eds. J.B. Baillieul and J.C. Willems Springer
-
H.J. Sussmann, Geometry and optimal control, in: Mathematical Control Theory, eds. J.B. Baillieul and J.C. Willems (Springer, 1998).
-
(1998)
Mathematical Control Theory
-
-
Sussmann, H.J.1
-
26
-
-
0030815471
-
The extended Euler-Lagrange condition for nonconvex variational problems
-
R.B. Vinter and H. Zheng, The extended Euler-Lagrange condition for nonconvex variational problems, SIAM J. Control Optim. 35 (1997) 56-77.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 56-77
-
-
Vinter, R.B.1
Zheng, H.2
-
28
-
-
0020813628
-
Controllability, extremality, and abnormality in nonsmooth optimal control
-
J. Warga, Controllability, extremality, and abnormality in nonsmooth optimal control, J. Optim. Theory Appl. 41 (1983) 239-260.
-
(1983)
J. Optim. Theory Appl.
, vol.41
, pp. 239-260
-
-
Warga, J.1
-
29
-
-
0029715234
-
Necessary optimality conditions for nonconvex differential inclusions with endpoint constraints
-
Q.J. Zhu, Necessary optimality conditions for nonconvex differential inclusions with endpoint constraints, J. Differential Equations 124 (1996) 186-204.
-
(1996)
J. Differential Equations
, vol.124
, pp. 186-204
-
-
Zhu, Q.J.1
|