Input-to-state stability of switched nonlinear systems
Input-to-state stability of switched nonlinear systems作者机构:College of Information Sciences and Engineering Shandong Agricultural University Tai'an 271018 China Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China
出 版 物:《Science in China(Series F)》 (中国科学(F辑英文版))
年 卷 期:2008年第51卷第12期
页 面:1992-2004页
核心收录:
学科分类:08[工学] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术(可授工学、理学学位)]
基 金:the National Natural Science Foundation of China (Grant No. 60674038)
主 题:switched system input-to-state stability Lyapunov function dwell-time
摘 要:The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS conditions are obtained for switched nonlinear systems and switched linear systems, respectively.