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A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays

机译:具有一类非等时滞的摄动系统鲁棒稳定性的新方法

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摘要

In this paper, based on the Lyapunov stability theorem, matrix measure, and norm inequalities, a new approach for the robust stability of perturbed systems with a class of noncommensurate time delays is presented. Two classes of linear parametric perturbations are treated: (1) unstructured; and (2) highly structured perturbations. Several concise sufficient conditions, delay-dependent or delay-independent, are proposed to guarantee the asymptotic stability and positive stability degree of the perturbed multiple time-delay systems. Finally, two numerical examples are given to demonstrate the applications of these quantitative results.
机译:本文基于Lyapunov稳定性定理,矩阵测度和范数不等式,提出了一种具有一类非等时滞的摄动系统的鲁棒稳定性的新方法。处理了两类线性参数摄动:(1)非结构化; (2)高度结构化的扰动。为了保证扰动多个时滞系统的渐近稳定性和正稳定性,提出了几个简洁的充分条件,依赖于时延或依赖于时延。最后,给出两个数值例子来说明这些定量结果的应用。

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