A new point of view on linear controlled objects

Journal of Dynamical and Control Systems

Volumn 2, Issue 1, 1996, Pages 69-87

  Boltyanskii, V G ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

Bellman sphere; Controllability region; Controlled object; Convex polytope; General position condition; Maximum principle; Optimal control; Time optimality

Indexed keywords

CONFORMAL MAPPING; CONTROLLABILITY; FUNCTIONS; MATRIX ALGEBRA; MAXIMUM PRINCIPLE; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; VECTORS;

BELLMAN SPHERE; CONVEX POLYTOPE; GENERAL POSITION CONDITION; LINEAR CONTROLLED OBJECTS; TIME OPTIMALITY;

LINEAR CONTROL SYSTEMS;

EID: 0029718389     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02259623     Document Type: Article

References (4)

1. R. V. Gamkrelidze, On the theory of optimal processes in linear systems. (Russian) Dokl. Akad. Nauk SSSR 116 (1957), No. 1, 9-11.
2. _, The theory of time-optimal processes in linear systems. (Russian) Izv. Akad. Nauk SSSR, Ser. Mat. 22 (1958), 449-474.
3. E. B. Lee and L. Marcus, Foundations of optimal control theory. Wiley, New York, 1967.
4. L.S. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze, and E.F. Mishchenko, Mathematical theory of optimal control. (Russian). Fizmatgiz, Moscow, 1962.