Title :
On the admissible controls for a class of nonlinear systems with control and state constraints
Author :
Achhab, M.E. ; Wertz, V.
Author_Institution :
Lab. d´´Autom., Dynamique et Anal. des. Syst., Univ. Catholique de Louvain, Belgium
Abstract :
The authors consider nonlinear continuous time autonomous systems which have a linear part and a known equilibrium point. They give a precise definition of the class of admissible controls. Then, they give some properties of the set of admissible controls, including that this set has a nonempty interior and is closed for the usual topology. Under additional hypotheses, they show that it is also a convex set
Keywords :
nonlinear control systems; set theory; topology; admissible controls; convex set; nonempty interior; nonlinear continuous time autonomous systems; state constraints; topology; Control systems; Differential equations; Lagrangian functions; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Topology;
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.1991.261060
