A new general sufficient condition for almost sure stability of jump linear systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

65 Citations (Scopus)

Abstract

In this paper, we study the almost sure stability of discrete-time jump linear systems with a finite-state Markov-form process. A general condition for almost sure stability, which is a necessary and sufficient condition for (scalar) one-dimensional systems, is derived. Many simpler testable sufficient conditions for almost surestability are derived from this sufficient condition.
Original languageEnglish
Pages (from-to)378-382
JournalIEEE Transactions on Automatic Control
Volume42
Issue number3
DOIs
Publication statusPublished - 1997
Externally publishedYes

Bibliographical note

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Research Keywords

  • Almost sure stability
  • Jump linear systems
  • Stochastic stability

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