Finite-time stability of switched systems
The finite-time stability of switched linear systems which contain both Hurwitz stable subsystems and unstable subsystems is researched in this paper. Firstly, the definition of finite-time stability is introduced. Then, based on the average dwell-time concept and by using the idea of specifying the total activation time period ration between the Hurwitz stable subsystems and unstable subsystems, some sufficient conditions for the finite-time stability are gotten. The problem of switched nonlinear systems through designing state feedback controllers is also studied. The sufficient conditions for finite-time stability of switched nonlinear systems are expressed through the forms of polynomial matrix inequalities which can be solved by means of SOSTOOLS. Finally, two examples are presented to show the validity of the results.
finite-time stability switched systems average dwell-time nonlinear systems sum of squares
Wenbo Sheng Xiaoli Zhang
Department of Automation, Xiamen University, Xiamen, 361005
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
270-274
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）