Abstract
In this study, the discrete-time antilinear systems with Markovian jumping parameters are investigated. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approach, the authors derive some necessary and sufficient conditions for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations. In addition, two types of iterative algorithms are proposed to solve these coupled anti-Lyapunov matrix equations. Finally, some numerical examples are given to show the efficiency of the proposed algorithms and potential applications of the obtained results on antilinear systems.
| Original language | English |
|---|---|
| Pages (from-to) | 1399-1410 |
| Number of pages | 12 |
| Journal | IET Control Theory and Applications |
| Volume | 9 |
| Issue number | 9 |
| Early online date | 1 Jun 2015 |
| DOIs | |
| Publication status | Published - Jun 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015 The Institution of Engineering and Technology.
Funding
This work was supported by the Project for Distinguished Young Scholars of the Basic Research Plan in Shenzhen City under Contract No. JCJ201110001, by the National Natural Science Foundation of China under Grant Nos. 61273094 and 61203125, by Specialised Research Fund for the Doctoral Program of Higher Education under Grant No. 20132302110053 and by the Foundation for Creative Research Groups of the National Natural Science Foundation of China under Grant No. 61321062. The authors are very grateful to the anonymous reviewers for their helpful comments to improve the presentation of the paper.
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