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 ] School of Control Science and Engineering, Shandong University, Jinan; 250061, China
会议名称：35th Chinese Control Conference, CCC 2016
会议日期：27 July 2016 through 29 July 2016
来源：Chinese Control Conference, CCC
关键词：Periodic switching; State feedback controller; Switched system; Unstable modes
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. © 2016 TCCT.