Title :
A survey of techniques for approximating reachable and controllable sets
Author :
Gayek, Jonathan E.
Author_Institution :
Aerospace Corp., Los Angeles, CA, USA
Abstract :
Two approaches to estimating reachable and controllable sets, the first based on optimal control theory techniques and the second on theorems related to Lyapunov stability criteria, have been widely discussed in the literature. The author reviews the algorithms associated with each approach for time-invariant systems governed by ordinary differential equations, difference equations, and retarded functional differential equations. Emphasis is placed on linear systems with constrained control
Keywords :
Lyapunov methods; controllability; differential equations; optimal control; stability criteria; Lyapunov stability criteria; constrained control; controllable sets; difference equations; linear systems; optimal control theory; ordinary differential equations; reachable sets; retarded functional differential equations; time-invariant systems; Aerodynamics; Aerospace control; Control systems; Controllability; Difference equations; Differential equations; Linear systems; Lyapunov method; Magnetic levitation; Optimal control;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261702
