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中文摘要：
针对一类连续时变时滞切换系统,通过构造适当的Lyapunov函数,提供适当的能量函数.利用线性矩阵不等式方法,讨论系统的能量递减,证明该系统在任意切换下的稳定性.通过MATLAB数值仿真,结果表明该系统是渐近稳定的,表明该方法是有效的.
英文摘要：
Switching system is one kinds of hybrid systems,it is constructed by a type of subsystem and a control switch rule.Aiming at a class of continuous time-varying delay switch system,the system stability under arbitrary switching is discussed through selecting proper Lyapunov function and using the LMI.The simulation result shows that the systems are asymptotically stable,which proves effectiveness of the method.
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