标题：L1-Gain fuzzy control for a class of discrete-time positive fuzzy Markov jump systems
作者：Pan, Fengwei ;Zhu, Shuqian
作者机构：[Pan, Fengwei ;Zhu, Shuqian ] School of Mathematics, Shandong University, Jinan; 250100, China
会议名称：29th Chinese Control and Decision Conference, CCDC 2017
会议日期：May 28, 2017 - May 30, 2017
来源：Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
摘要：This paper deals with the l1-gain performance analysis and fuzzy state feedback controller design for discrete-time positive fuzzy Markov jump systems (FMJSs). The definitions of the positive FMJSs, stochastic stability and l1-gain performance are firstly provided. Then some sufficient conditions for stochastic stability and l1-gain performance are derived in terms of linear programming (LP) by using a mode-dependent linear co-positive Lyapunov function, respectively. The derived conditions can cover several existing results as special cases and the fuzzy state feedback controller design of the positive FMJSs is converted into a standard and solvable LP problem. A numerical example is provided to illustrate the feasibility of the obtained conditions. © 2017 IEEE.