Limit shapes of reachable sets for linear impulse control systems

Authors:	Ovseevich Alexander, IPM RAS, Russian Federation Goncharova Elena, ISDCT SB RAS, Russian Federation
Topic:	2.1 Control Design
Session:	Control Design II
Keywords:	Reachable sets, impulse control, linear dynamic systems, shapes of convex bodies.

Abstract

The main purpose of the paper is to study the asymptotic behavior of reachable sets tolinear time-invariant impulsive control systems. The issue is analyzed within aframework of {\em shapes} of reachable sets. This approach enables an exhaustivedescription of attractors arising in the space of shapes and the related dynamics. Theresults are compared with previous work.