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Mean square stabilization of discrete-time switching Markov jump linear systems

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journal contribution
posted on 2023-06-09, 16:06 authored by Haibo Qu, Jialei Hu, Yang Song, Tai Yang
This 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 Methods

ISSN

0143-2087

Publisher

Wiley

Issue

1

Volume

40

Page range

141-151

Department 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

Legacy Posted Date

2018-11-30

First Open Access (FOA) Date

2019-10-19

First Compliant Deposit (FCD) Date

2018-11-29

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