多时滞线性不确定系统的鲁棒稳定性

Robust stability for linear uncertain multi-time-delay system

:考虑了多时滞后线性不确定系统的鲁棒稳定性 ,对非结构扰动和结构扰动的情况作了讨论 .利用系统的特征值在复平面的左半部分时系统渐近稳定这一事实 ,可以得到多时滞线性不确定系统的一些时滞相关渐近稳定的充分条件 ,这些条件仅与系统的结构有关 .

We focus on the problem of robust stability for the linear uncertain multi-time-delay system. Both the systems subjected to unstructured parametric uncertainties and structured parametric are concerned. Based on the fact that if the characteristic roots of a system lie in the left half complex plane then the system is asymptotically stable, several delay-independent asymptotically stable sufficient conditions for linear uncertain multi-time-delay systems are derived. These conditions only rely on the structure of the system; this can lead to reduction in conservatism. Some numerical example examples are given to show the superiority of our results to those in the literature.