On practical stability and stabilization of hybrid and switched systems

Ping Xu, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceedingChapter

18 Citations (Scopus)

Abstract

In this paper, practical stability and stabilization problems for hybrid and switched systems are studied. We formally introduce the notions of e-practical stability and practical stabilizability. The main results of the paper include a direct method for the e-practical stability analysis of hybrid systems and sufficient conditions for the practical stabilizability of switched systems. Moreover, we construct an e-practically stabilizing switching law in the proof of the stabilizability results and apply it to a tracking problem to show its effectiveness.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsRajeev Alur, George J. Pappas
PublisherSpringer Verlag
Pages615-630
Number of pages16
ISBN (Print)3540212590, 9783540212591
DOIs
Publication statusPublished - 2004
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2993
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Xu, P., & Zhai, G. (2004). On practical stability and stabilization of hybrid and switched systems. In R. Alur, & G. J. Pappas (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 615-630). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2993). Springer Verlag. https://doi.org/10.1007/978-3-540-24743-2_41