Practical stability of closed-loop descriptor systems

C. Yang, Q. Zhang, Yanping Lin, L. Zhou

Research output: Journal article publicationReview articleAcademic researchpeer-review

18 Citations (Scopus)

Abstract

Practical stability is of significant practical importance in scientific and engineering problems but less investigated for descriptor systems. This paper develops the concepts of practical stability to descriptor systems and by using Lyapunov functions and comparison principle, presents some techniques to specify admissible control sets, such that the motion of the closed-loop descriptor systems is practically stable and impulsive-free. Finally, as an application, this paper discusses linear time-invariant descriptor systems and derives a sufficient condition. To illustrate our approach, a simple circuit network and a numerical example are analysed.
Original languageEnglish
Pages (from-to)1059-1067
Number of pages9
JournalInternational Journal of Systems Science
Volume37
Issue number14
DOIs
Publication statusPublished - 15 Nov 2006
Externally publishedYes

Keywords

  • Closed-loop systems
  • Comparison principle
  • Descriptor systems
  • Lyapunov function
  • Practical stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Management Science and Operations Research

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