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Download fileMean square stabilization of discrete-time switching Markov jump linear systems
journal contribution
posted on 2023-06-09, 16:06 authored by Haibo Qu, Jialei Hu, Yang Song, Tai YangThis paper consider a special class of hybrid system called switching Markov jump linear system. The system transition is governed by two rules. One is Markov chain and the other is a deterministic rule. Furthermore, the transition probability of the Markov chain is not only piecewise but also orchestrated by a deterministic switching rule. In this paper the mean square stability of the systems is studied when the deterministic switching is subject to two different dwell time conditions: having a lower bound and having both lower and high bounds. The main contributions of this paper are two relevant stability theorems for the systems under study. A numerical example is provided to demonstrate the theoretical results.
History
Publication status
- Published
File Version
- Accepted version
Journal
Optimal Control, Applications and MethodsISSN
0143-2087Publisher
WileyExternal DOI
Issue
1Volume
40Page range
141-151Department affiliated with
- Engineering and Design Publications
Research groups affiliated with
- Industrial Informatics and Signal Processing Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes