%0 Journal Article
%T Quadratic stability with H-infinity performance for a class of switched linear systems<br>一类线性切换系统具有H∞性能指标的二次稳定
%A NIE Hong
%A ZHAO Jun
%A <br>聂宏
%A 赵军
%J 控制理论与应用
%D 2004
%I 
%X The problem of quadratic stability with H-infinity disturbance attenuation for a class of switched linear systems is addressed in this paper. The systems under consideration consist of two subsystems, and neither of which needs to be quadrati-cally stable with H-infinity disturbance attenuation. Based on single Lyapunov function techniques, a sufficient condition for the switched linear system in this class to be quadratically stable with H-infinity disturbance attenuation is derived, and the quadrati-cally stable switching law is designed in terms of the convex combination system. Furthermore, a necessary condition for the problem to be solvable is also derived. Finally, a simulation example is employed to illustrate the validity of the results.
%K switched linear system
%K quadratic stability with H-infinity disturbance attenuation
%K convex combination
%K single Lyapunov function<br>线性切换系统
%K 具有H∞扰动衰减度的二次稳定
%K 凸组合
%K 单Lyapunov函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=3282B5537CE289A7&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=0B39A22176CE99FB&sid=3A0155B37D8FF829&eid=5D9D6A8FC2C66FD8&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=8&reference_num=14