标题：Region Stability Analysis for Switched Nonlinear Systems with Multiple Equilibria
作者：Guo Rongwei; Wang Yuzhen
作者机构：[Guo Rongwei; Wang Yuzhen] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：30th Chinese Control Conference
会议日期：JUL 22-24, 2011
来源：2011 30TH CHINESE CONTROL CONFERENCE (CCC)
关键词：Multi-equilibrium switched system; Region stability; Stable region;; Common Lyapunov-like function; Multi Lyapunov-like function
摘要：This paper investigates the region stability for switched nonlinear systems whose subsystems have different equilibria, which are referred to multi-equilibrium switched nonlinear systems, and proposes a number of new results on the region stability analysis. Through investigating the dynamical behavior of the multi-equilibrium switched system, a Common Lyapunov-like (CL-like) function method and a Multiple Lyapunov-like (ML-like) function method are established for the region stability, based on which several new approaches to the region stability analysis are then obtained. It is shown that the main results obtained in this paper not only guarantee the region stability of the multi-equilibrium switched nonlinear system under arbitrary switching, but also provide several new methods to determine the corresponding stable regions. Finally, several illustrative examples with numerical simulations are studied by using the results obtained in this paper. Study of examples shows that our analysis methods work very well in analyzing the region stability of some classes of multi-equilibrium switched linear systems.