Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time
Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time
复制标题
开关转换率受平均停留时间影响的正时滞马尔可夫跳跃系统的指数稳定性和 L1 增益分析
DOI：
10.1016/j.ins.2017.10.008
复制
发表时间：
2018-01-01
影响因子：
8.1
通讯作者：
Gao, Xianwen
中科院分区：
文献类型：
--
作者：
Qi, Wenhai;Park, Ju H.;Gao, Xianwen
研究具有切换转移率的正时滞马尔可夫跳变系统的指数稳定性和L-1增益分析问题。给出了另一组有用的状态转换模型，它将固定转移率推广到时变转移率。借助于线性共正的李雅普诺夫函数和平均停留时间，以标准线性规划的形式给出了系统指数稳定的充分条件。在此基础上，分析了L1增益性能。最后通过一个算例说明了主要结果的有效性. (C)2017爱思唯尔公司All rights reserved.
The paper deals with the problems of exponential stability and L-1-gain analysis for positive time-delay Markovian jump systems (Miss) 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, L-1-gain performance is analyzed. Finally, an example is proposed to illustrate the validity of the main results. (C) 2017 Elsevier Inc. All rights reserved.