标题：Stability and stabilization for switched systems with all subsystems unstable
作者：Liu Zhi; Wang Yuzhen; Du Yingxue
作者机构：[Liu Zhi; Wang Yuzhen; Du Yingxue] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：35th Chinese Control Conference (CCC)
会议日期：JUL 27-29, 2016
来源：PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016
关键词：Switched system; Unstable modes; Periodic switching; State feedback; controller
摘要：This paper investigates the stability and stabilization for switched systems with all modes unstable. Firstly, a class of periodic switching signal is proposed to ensure that the considered system is global asymptotical stability (GAS) on continuous-time interval. The quadratic Lyapunov function is permitted to increase on the part of a complete switching period. Secondly, the state feedback controllers are designed to stabilize each subsystem, and the sufficient condition of stabilization is provided for the non-autonomous switched system. Two numerical examples are finally presented to verify the validity of the obtained theoretical results.