标题：Finite-Time Stability and Stabilization for a Class of Nonlinear Discrete-Time Singular Switched Systems
作者：Xu, You; Zhu, Shuqian; Ma, Shuping
作者机构：[Xu, You; Zhu, Shuqian; Ma, Shuping] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
会议名称：26th Chinese Control and Decision Conference (CCDC)
会议日期：MAY 31-JUN 02, 2014
来源：26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC)
关键词：Discrete-time singular switched system; Nonlinear system; Finite-time; stability; State feedback stabilization
摘要：In this paper, the problem of finite-titne stability analysis and state feedback stabilization for a class of nonlinear discrete-time singular switched systems is discussed. First, based on the switching Lyapunov theory and the implicit function theorem, a sufficient condition is developed in the form of linear matrix inequalities (LAM) which guarantees that the nonlinear discrete-time singular switched system is regular, causal, has a unique solution in a neighborhood of the equilibrium point, and is finite-time stable. Then based on the above condition, a condition on the existence of the finite-time state feedback stabilization controller for the nonlinear discrete-time singular switched system is proposed and the design method is given. Finally, two numerical examples are given to show the effectiveness and correctness of the proposed methods.