Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time
The paper deals with the problems of exponential stability and L1-gain analysis for positive time-delay Markovian jump systems (MJSs) with switching transition rates. Another set of useful regime-switching model is given, which extends fixed transition rates to time-varying transition rates. By reso...
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| Published in | Information sciences Vol. 424; pp. 224 - 234 |
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| Format | Journal Article |
| Language | English |
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01.01.2018
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| Abstract | The paper deals with the problems of exponential stability and L1-gain analysis for positive time-delay Markovian jump systems (MJSs) with switching transition rates. Another set of useful regime-switching model is given, which extends fixed transition rates to time-varying transition rates. By resorting to the linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability are proposed in terms of standard linear programming. Based on the obtained results, L1-gain performance is analyzed. Finally, an example is proposed to illustrate the validity of the main results. |
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| AbstractList | The paper deals with the problems of exponential stability and L1-gain analysis for positive time-delay Markovian jump systems (MJSs) with switching transition rates. Another set of useful regime-switching model is given, which extends fixed transition rates to time-varying transition rates. By resorting to the linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability are proposed in terms of standard linear programming. Based on the obtained results, L1-gain performance is analyzed. Finally, an example is proposed to illustrate the validity of the main results. |
| Author | Gao, Xianwen Kao, Yonggui Park, Ju H. Qi, Wenhai Cheng, Jun |
| Author_xml | – sequence: 1 givenname: Wenhai surname: Qi fullname: Qi, Wenhai email: qiwhtanedu@163.com organization: School of Engineering, Qufu Normal University, Rizhao 276826, PR China – sequence: 2 givenname: Ju H. surname: Park fullname: Park, Ju H. email: jessie@ynu.ac.kr organization: School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, PR China – sequence: 3 givenname: Jun surname: Cheng fullname: Cheng, Jun organization: School of Science, Hubei University for Nationalities, Enshi 445000, PR China – sequence: 4 givenname: Yonggui surname: Kao fullname: Kao, Yonggui organization: School of Science, Harbin Institute of Technology, Weihai 264209, PR China – sequence: 5 givenname: Xianwen surname: Gao fullname: Gao, Xianwen organization: College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China |
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| Keywords | Exponential stability Average dwell time Switching transition rates Linear co-positive Lyapunov function |
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| SubjectTerms | Average dwell time Exponential stability Linear co-positive Lyapunov function Switching transition rates |
| Title | Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time |
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