一类时变时滞中立微分方程的时滞相关稳定性判据 |
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引用本文:王岩青.一类时变时滞中立微分方程的时滞相关稳定性判据[J].计算技术与自动化,2012,(1):7-9 |
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中文摘要:针对一类时变时滞中立型微分方程,利用Lyapunov-Krasovskii泛函方法,并结合线性矩阵不等式技巧,给出系统基于线性矩阵不等式(LMI)的全局渐近稳定的时滞相关充分条件, 并通过算例与现有准则相比,本文所给条件是有效的具有较小的保守性。 |
中文关键词:中立型方程 渐近稳定 线性矩阵不等式(LMI) |
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Delay-dependent Criterion for Asymptotic Stabilityof a Class of Time-varying Delay Neutral Equations |
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Abstract:The problem of asymptotic stability for a class of neutral delayed differential equations is discussed. A delay-dependent criteria ofasymptotic stability condition is given in terms of the linear matrix inequality(LMI) by applying Lyapunov-Krasovskii function method. An illustrative example shows that the condition obtained in this paper is effective and less conservative than some existing results. |
keywords:neutral equations asymptotic stability Linear Matrix Inequality(LMI) |
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