Stability of switched systems: An optimal control approach

Rabin Gitizadeh, Michael Margaliot

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The stability analysis of switched systems is difficult because such systems admit an infinite number of trajectories for any initial value. A natural approach is to characterize the "most unstable" trajectory and then analyze the stability of this single trajectory. In this paper, we use a variational approach to develop such a characterization. We derive the corresponding Hamilton-Jacobi-Bellman (HJB) equation and show that, quite remarkably, it can be solved explicitly for some particular switched systems including second-order homogeneous systems.

Original languageEnglish
Title of host publication22nd Convention of Electrical and Electronics Engineers in Israel, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages237-239
Number of pages3
ISBN (Electronic)0780376935
DOIs
StatePublished - 2002
Event22nd Convention of Electrical and Electronics Engineers in Israel - Tel-Aviv, Israel
Duration: 1 Dec 2002 → …

Publication series

NameIEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings
Volume2002-January

Conference

Conference22nd Convention of Electrical and Electronics Engineers in Israel
Country/TerritoryIsrael
CityTel-Aviv
Period1/12/02 → …

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