Paper Info
Title
On the Continuity of Asymptotically Stable Compact Sets for Simulations of Hybrid Systems
Abstract
We propose a hybrid model for simulations of hybrid systems and we establish conditions on its data so that the asymptotically stable sets observed in simulations are continuous. The most important components of the hybrid model for simulations are a discrete integration scheme for the computation of the flows and an approximated jump mapping for the computation of the jumps. Our main result is built on the facts that, on compact hybrid time domains, every simulation to a hybrid system is arbitrarily close (in the graphical sense) to some solution to the actual hybrid system, and that asymptotically stable compact sets of hybrid systems are semiglobally practically asymptotically stable compact sets for the hybrid model for simulations. We present these results and illustrate them in simulations of the bouncing ball system
Year
DOI
Venue
2006
10.1109/CDC.2006.377647
San Diego, CA
Keywords
DocType
ISSN
asymptotic stability,integration,approximated jump mapping,asymptotically stable compact set,bouncing ball system simulation,compact hybrid time domain,discrete integration,flow computation,hybrid model,hybrid system simulation,jump computation,hybrid system,stable set,time domain
Conference
0743-1546
ISBN
Citations 
PageRank 
1-4244-0171-2
1
0.57
References 
Authors
10
2
Name
Order
Citations
PageRank
Ricardo G. Sanfelice121627.88
andrew r teel256671.55