Stability of linear systems with delayed perturbations: an LMI approach
Stability of linear systems with delayed perturbations: an LMI approach
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DOI：
10.1109/81.989065
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发表时间：
2002-08
影响因子：
5.1
通讯作者：
M. Ni;M. Er
中科院分区：
文献类型：
--
作者：
M. Ni;M. Er
针对一类具有时变扰动的时滞线性系统，给出了保证其渐近稳定的几个新的充分条件。由于这些条件可以表示为线性矩阵不等式（LMI），相应的LMI为基础的算法，以确定稳定的界限。此外，我们将这些结果推广到时滞状态下具有多个时变扰动的线性系统和时滞状态下具有结构时变扰动的线性系统。与已有的结果相比，我们的方法是优越的上级。数值算例验证了所提方法的有效性。
For a class of linear systems with time-varying perturbations in the time-delayed state, this paper presents a couple of new sufficient conditions for guaranteeing asymptotic stability. Since these conditions can be expressed as linear matrix inequalities (LMIs), the corresponding LMI-based algorithms for determining stability bounds are derived. Furthermore, we extend these results to linear systems with multiple time-varying perturbations in time-delayed states and those with structured time-varying perturbations in time-delayed states. Compared with existing results, our methods are shown to be superior. Numerical examples are given to demonstrate the effectiveness of the proposed approaches.