Title :
Blowing up affine hybrid systems
Author :
Ames, Aaron D. ; Sastry, Shankar
Author_Institution :
Dept. of EECS, California Univ., Berkeley, CA, USA
Abstract :
In this paper we construct the "blow up" of an affine hybrid system H, i.e., a new affine hybrid system Bl(H) in which H is embedded, that does not exhibit Zeno behavior. We show the existence of a bijection ϒ between periodic orbits and equilibrium points of H and Bl(H) that preserves stability; we refer to this property as 𝒫-stability equivalence.
Keywords :
continuous time systems; discrete event systems; stability; /spl Pscr/-stability equivalence; Zeno behavior; affine hybrid systems; bijection /spl Upsi/; equilibrium points; periodic orbits; Asymptotic stability; Displays; Indexing; Orbits; Stability analysis; Switched systems;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428675
