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Mean-Square Strong Stability and Stabilization of Discrete-Time Markov Jump Systems with Multiplicative Noises
| Content Provider | MDPI |
|---|---|
| Author | Yan, Zhiguo Su, Fangxu |
| Copyright Year | 2022 |
| Description | In this paper, the mean-square strong stability and stabilization of discrete-time Markov jump systems are studied. Firstly, the definition of mean-square strong stability is given, and the necessary and sufficient conditions for mean-square strong stability are derived. Secondly, several necessary and sufficient conditions for mean-square strong stabilization via a state feedback controller and an output feedback controller are obtained. Furthermore, explicit expressions for the state feedback controller and static output feedback controller are obtained. Finally, two examples are given to illustrate the validity of the above results. |
| Starting Page | 979 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10060979 |
| Journal | Mathematics |
| Issue Number | 6 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-03-18 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Industrial Engineering Mean-square Strong Stability Markov Jump Discrete-time Stochastic System Overshoot Output Feedback |
| Content Type | Text |
| Resource Type | Article |