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Stability analysis for a class of switched positive systems with time delay

机译:一类时滞切换正系统的稳定性分析

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In this paper, the problem of exponential stability for a class of switched positive linear systems with time delay is investigated in discrete-time case. By using a newly constructed copositive Lyapunov functional, sufficient conditions for exponential stability are developed under average dwell time switching. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). An illustrative example is given to demonstrate the effectiveness of the proposed results.
机译:本文研究了一类具有离散时间的正时滞线性切换系统的指数稳定性问题。通过使用新构建的共正Lyapunov函数,在平均停留时间切换下为指数稳定性开发了充分的条件。这些条件取决于延迟,并以线性矩阵不等式(LMI)的形式给出。给出了一个说明性的例子来证明所提出的结果的有效性。

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