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考虑到时变时滞在给定区间内的线性时滞系统的鲁棒稳定性,为了引入一些与时变时滞相关的状态变量,构建了一个新的Lyapunov函数,分别得出了以线性矩阵不等式形式表示的关于标称系统以及带范数有界不确定性的系统的保守性更低的结论.一些数值算例表明了所得结论的有效性.
Considering the robust stability of linear systems with time-varying delays in a given interval, a new Lyapunov function is constructed to introduce some state variables related to time-varying delays. The linear matrix inequalities In the form of the lower conservativeness of the nominal system and the system with norm-bounded uncertainties, some numerical examples show the validity of the conclusions.