Title :
Semigroup actions on homogeneous spaces: control sets and stabilizer subgroups
Author_Institution :
Dept. of Math., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
Given a control system on a manifold we investigate the properties of the reachable set from an arbitrarily chosen point. We are especially interested in the following questions: which points lie in the interior of their reachable set and which points are stabilizable in the sense that one can find a trajectory-defined on a nontrivial interval-starting and terminating at that point? We will investigate these questions in a Lie group setting, using the links between control theory and semigroup theory
Keywords :
group theory; stability; Lie group; control sets; homogeneous spaces; semigroup actions; stabilizer subgroups; Algebra; Control systems; Control theory; Mathematics; Orbits;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478687
