%0 Journal Article %T Global stabilization of a class of multi-input cascade switched nonlinear systems
一类多输入级联非线性切换系统的全局镇定 %A DONG Ya-li %A FAN Jiao-jiao %A QIN Hua-shu %A
董亚丽 %A 范姣姣 %A 秦化淑 %J 控制理论与应用 %D 2009 %I %X We consider the global stabilization of a class of multi-input cascade switched nonlinear systems with a linear switched part. A set of sufficient conditions for existing a uniform canonical form is given to the linear system. To the canonical form and the memoryless nonlinearity, we apply the quadratic Lyapunov function to design a state feedback for stabilizing the linear parts under arbitrary switching laws. Globally asymptotic stability of closed-loop system under arbitrary switching laws can be achieved by properly constructing the common Lyapunov functions. %K switched nonlinear system %K global stabilization %K uniform normal form %K common Lyapunov function
非线性切换系统 %K 全局镇定 %K 一致规范型 %K 共同Lyapunov函数 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=212AB0C728CD253D956B4706C6F57645&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=CA4FD0336C81A37A&sid=6209D9E8050195F5&eid=16D8618C6164A3ED&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=9