文献类型：期刊文献

英文题名：Input-output finite-time mean square stabilization of nonlinear semi-Markovian jump systems

作者：Yan, Huaicheng[1];Tian, Yongxiao[1];Li, Hongyi[2,3];Zhang, Hao[4];Li, Zhichen[1]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Guangdong Univ Technol, Guangdong Prov Key Lab Intelligent Decis & Cooper, Guangzhou 510006, Guangdong, Peoples R China;[3]Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China;[4]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

年份：2019

卷号：104

起止页码：82

外文期刊名：AUTOMATICA

收录：;EI(收录号：20191106620786);WOS:【SCI-EXPANDED(收录号:WOS:000466616600010)】；

基金：This work was partially supported by the National Natural Science Foundation of China (61673178, 61773289, 61622302), Shanghai International Science and Technology Cooperation Project (15220710700, 18510711100), Shanghai Shuguang Project (16SG28, 18SG18), Shanghai Natural Science Foundation (17ZR1444700, 17ZR1445800), the innovative Research Team Program of Guangdong Province Science Foundation (2018B030312006), and the Science and Technology Planning Project of Guangdong Province (2017B010116006).

语种：英文

外文关键词：Input-output finite-time mean square stabilization; Semi-Markovian jump systems (SMJSs); Time-varying delay

摘要：This paper is concerned with the input-output finite-time mean square stabilization problem for a class of nonlinear semi-Markovian jump systems (SMJSs) with time-varying delay. Both time-varying factors of transition rates and states delay are considered to be bounded. Our main purpose is to derive some parameter-dependent sufficient criteria by designing a state feedback controller, to guarantee the input-output finite-time mean square stabilization for the underlying systems where the nonlinear term satisfies the conic sector constraint. Then, the stabilization conditions are obtained by employing a novel Lyapunov-Krasovskii functional, differential form Gronwall's inequality, and an extra slack variable which is composed of the time-varying transition rates. Finally, a simulation example is provided to illustrate the effectiveness and merits of the proposed method. (C) 2019 Elsevier Ltd. All rights reserved.