Invariance principles for switching systems via hybrid systems techniques

Submitted by ricardo on February 28, 2017 - 2:36pm
TitleInvariance principles for switching systems via hybrid systems techniques
Publication TypeJournal Article
Year of Publication2008
AuthorsGoebel R., Sanfelice R.G, Teel A.R
JournalSystems & Control Letters
Volume57
Pagination980-986
Date PublishedDecember
Keywordshybrid systems
AbstractInvariance principles and sufficient conditions for asymptotic stability for switching systems are given. Multiple Lyapunov-like functions are used, and dwell-time, persistent dwell-time, and weak dwell-time switching signals are considered. The invariance principles are derived from general invariance principles for hybrid systems. Asymptotic stability is concluded under observability assumptions or common bounds on the Lyapunov-like functions.
URLhttps://hybrid.soe.ucsc.edu/files/preprints/22.pdf
DOI