一类切换时滞线性系统指数稳定性分析的统一方法

Nguyen Khoa Son, N. Le
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引用次数: 0

摘要

本文提出了研究一类由一般线性泛函微分方程描述的切换时滞线性系统全局指数稳定性的统一方法。针对这类系统在任意切换条件下,满足最小停留时间或平均停留时间的一些假设,建立了指数稳定性的几个新的时滞相关判据。作为特殊情况,所获得的结果包括并改进了许多以前已知的结果。最后给出了一个实例来说明所提出的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR SYSTEMS
This paper proposes a unified approach to study global  exponential stability for  a class of switched time-delay linear  systems described by general linear functional differential equations. Several new delay-dependent criteria of exponential stability are established for this class of systems, under arbitrary switching which satisfies some assumptions on the minimum dwell time or the average dwell time. As particular cases, the obtained results are shown to include and improve many previously known results. An example is given to illustrate the proposed method.
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