On practical stability and stabilization of hybrid and switched systems

Ping Xu, Guisheng Zhai

Research output: Contribution to journalArticle

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
Pages (from-to)615-630
Number of pages16
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2993
Publication statusPublished - 2004
Externally publishedYes

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Stabilization
Hybrid systems

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

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AU - Zhai, Guisheng

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AB - 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.

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