An a-L∞ stability Small-Gain Theorem for Nonlinear Interconnection Systems
作者单位：Shenyang University of Technology School of Science School of Information Engineering Yancheng Teachers University
会议名称：《第43届中国控制会议》
会议日期：1000年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
关 键 词：a-L_∞ stability small-gain theorem nonlinear interconnected systems observer output feedback
摘 要：This paper presents a small-gain result for interconnected large-scale system based on a-L stability. It is assumed that the output of the subsystem satisfies the a-L stability bound and the small gain condition holds, then the composite output of the interconnected system can be proved to satisfy an a-L stability bound. Comparing with the input-output stability, the a-L stability only requires that the system state is bounded and the output converges. This theorem expounds the stability problem of a more general nonlinear system with less restrictive conditions.