Finite-time analysis and <i>H</i>_∞ for switched stochastic systems

作     者：Xiang, Zhengrong Qiao, Changhui Mahmoud, Magdi S. 

作者机构：Nanjing Univ Sci & Technol Sch Automat Nanjing 210094 Jiangsu Peoples R China King Fahd Univ Petr & Minerals Dept Syst Engn Dhahran 31261 Saudi Arabia 

出 版 物：《JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS》 (佛兰克林学会杂志)

年 卷 期：2012年第349卷第3期

页      面：915-927页

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 08[工学] 0701[理学-数学] 0811[工学-控制科学与工程] 

基　　金：National Natural Science Foundation of China NUST [2011YBXM26] KFUPM [IN100018] 

主　　题：CONTROL theory (Mathematics) STOCHASTIC systems LYAPUNOV functions PROGRAMMABLE controllers MATRICES INEQUALITIES (Mathematics) 

摘      要：This paper is concerned with the finite-time stability, boundedness and H-infinity control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finite-time properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time H-infinity control problem is obtained. An example is employed to verify the effectiveness of the proposed method. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.