Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time

• Published in: Information sciences Vol. 424; pp. 224 - 234
• Main Authors: Qi, Wenhai, Park, Ju H., Cheng, Jun, Kao, Yonggui, Gao, Xianwen
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2018
• Subjects: Average dwell time; Exponential stability; Linear co-positive Lyapunov function; Switching transition rates; Exponential stability; Average dwell time; Switching transition rates; Linear co-positive Lyapunov function
• ISSN: 0020-0255; 1872-6291
• DOI: 10.1016/j.ins.2017.10.008

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.