IEEE-TAC-15-0078-revised-11-3-V2.pdf (287.88 kB)
Almost sure stability of switching Markov Jump Linear Systems
journal contribution
posted on 2023-06-09, 11:48 authored by Yang Song, Jie Yang, Tai Yang, Minrui FeiRecently a special hybrid system called Switching Markov Jump Linear System (SMJLS) is studied. A SMJLS is subject to a deterministic switching and a stochastic Markovain switching. To extend the results already obtained and to investigate some new aspects of such systems, our main contributions in this paper are: (i) Transient analysis of Markov process, i.e. the expectations of the sojourn time, the activation number of any mode, and the number of switchings between any two modes; and (ii) Two sufficient conditions of the exponential almost sure stability for a general SMJLS. Different from previous work, which is a special case of our study, the transition rate matrix for the random Markov process in our study is not fixed, but varies when a deterministic switching takes place.
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Publication status
- Published
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- Published version
Journal
IEEE Transactions on Automatic ControlISSN
0018-9286Publisher
Institute of Electrical and Electronics EngineersExternal DOI
Issue
9Volume
61Page range
2638-2643Department affiliated with
- Engineering and Design Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2018-01-29First Open Access (FOA) Date
2018-02-14First Compliant Deposit (FCD) Date
2018-01-29Usage metrics
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