Title :
Classification of stable time-optimal controls on 2-manifolds
Author :
Boscain, U. ; Nikolaev, I. ; Piccoli, B.
Author_Institution :
SISSA-ISAS, Trieste, Italy
Abstract :
In this paper, we provide a topological classification via graphs of time-optimal flows, for generic control systems of the kind x = F(x) + uG(x), x ∈ M, |u| ≤ 1, on two dimensional orientable compact manifolds, also proving structural stability of generic optimal flows.
Keywords :
graph theory; optimal control; stability; generic control systems; generic optimal flows; stable time-optimal control classification; structural stability; time-optimal flows; topological classification; two dimensional orientable compact manifolds; Control systems; Controllability; Optimal control; Structural engineering; Topology;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428672
