Almost sure and δ-moment stability of jump linear systems

Yuguang FANG, Kenneth A. LOPARO, Xiangbo FENG

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

73 Citations (Scopus)

Abstract

In this paper, we study the almost sure-stability and δ-moment stability of discrete-time jump linear systems with a finite state form process. Criteria for almost sure and δ-moment stability, which are necessary and sufficient conditions for (scalar) one-dimensional systems, are derived. The relationship between almost sure and δ-moment stability for (scalar) one-dimensional systems is also presented. If the system matrices commute, necessary and sufficient conditions for almost sure stability are obtained. © 1994 Taylor & Francis Ltd.
Original languageEnglish
Pages (from-to)1281-1307
JournalInternational Journal of Control
Volume59
Issue number5
DOIs
Publication statusPublished - 1994
Externally publishedYes

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