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研究一类时变时滞Lurie系统的鲁棒性和绝对稳定性问题.根据时变时滞分段分析方法,引入三重积分算子设计一个新的Lyapunov-Krasovskii泛函,得到一些保守性更小的时滞相关稳定性判据.采用相互凸松弛方法与边界不等式相结合,避免忽略泛函微分中的有用项,减少额外自由变量及计算量.通过数值实验分析表明了所提方法的有效性和先进性.
In this paper, the robustness and the absolute stability of a class of Lurie systems with time-varying delays are studied. A new Lyapunov-Krasovskii functional is introduced by introducing the triple integral operator according to the time-varying and time-lag segmented analysis. Some conservative The delay-dependent stability criterion is adopted.The convex convex relaxation method and the boundary inequality are combined to avoid ignoring the useful items in the functional differential and reducing the additional free variables and the computational load.The numerical experiment shows that the proposed method is effective And advanced.