Stability and convergence for systems with switching equilibria

Silvia Mastellone, Dusan M Stipanovic, Mark W. Spong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study systems in which the equilibrium point varies discontinuously according to a well defined state or time-dependent switching law. We refer to those systems as systems with switching equilibria. To motivate our study, we describe a class of problems in engineering and biology that can be formulated using such systems. We study stability and convergence properties of those systems under various switching rules. In particular we prove convergence under arbitrary switching, time-dependent and state-dependent switching laws. In the time-dependent switching case we highlight connections between the relaxation theorem corresponding to differential inclusions, Pulse-Width-Modulation (PWM) and averaging theory.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages4013-4020
Number of pages8
DOIs
StatePublished - Dec 1 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Mastellone, S., Stipanovic, D. M., & Spong, M. W. (2007). Stability and convergence for systems with switching equilibria. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 4013-4020). [4434822] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2007.4434822