%0 Journal Article
%T Common quadratic Lyapunov functions for third order systems<br>三阶系统族的共同二次Lyapunov函数
%A DONG Ya-li
%A QIN Hua-shu
%A <br>董亚丽
%A 秦化淑
%J 控制理论与应用
%D 2006
%I 
%X This paper considers the problem of finding a common quadratic Lyapunov function for a set of third order systems.Firstly,for a given stable third order system,the method to seek the set of quadratic Lyapunov functions is proposed,and then,a sufficient condition for a set of third order systems to share a common quadratic Lyapunov function is obtained. The proposed sufficient condition is easy to be constructed and applied.Finally,an example is given to verify the effectiveness of the obtained results.
%K common quadratic Lyapunov function(QLF)
%K orthogonal transformation
%K switched system<br>共同二次Lyapunov函数
%K 正交变换
%K 切换系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=4895C0FF00B0C182&yid=37904DC365DD7266&vid=EA389574707BDED3&iid=0B39A22176CE99FB&sid=6CCE24D86D03D083&eid=1DF3F9D75A12D97B&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=8