Necessary optimality conditions for optimal control problems with intermediate constraints

Journal of Dynamical and Control Systems

Volumn 4, Issue 1, 1998, Pages 49-58

  Arutyunov, A V ^a   Okoulevitch, A I ^a  

^a PEOPLES FRIENDSHIP UNIVERSITY OF RUSSIA   (Russian Federation)

Author keywords

Degeneration phenomenon; Index of a quadratic form; Intermediate constraints; Maximum principle; Optimal control; State constraints

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; PROBLEM SOLVING;

INTERMEDIATE CONSTRAINTS;

OPTIMAL CONTROL SYSTEMS;

EID: 0031680101     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022820900022     Document Type: Article

References (5)

1. A. V. Arutyunov, Perturbations of extremal problems with constraints and necessary optimality conditions. J. Sov. Math. 54 (1991), No. 6, 1342-1400.
2. A. V. Arutyunov and S. M. Aseev, Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints. SIAM J. Control Optimiz. 35 (1997), No. 3.
3. L. T. Ashepkov, Optimal control of discontinuous systems. (Russian) Nauka, Novosibirsk, 1987.
4. A. V. Arutyunov, On the maximum principle theory in optimal control problems with phase constraints. Sov. Math. Dokl. 39 (1989), No. 1, 1-4.
5. P. Crouch and F. Silva Leite, The dynamic interpolation problem: On Riemannian manifolds, Lie groups and symmetric spaces. J. Dynam. and Control. Syst. 1 (1995), No. 2, 177-202.