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首页> 外文期刊>IEEE Transactions on Automatic Control >Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
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Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay

机译：时变时滞系统的加权矩阵技术的进一步改进

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摘要

A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method
机译：本说明中提出了一种新颖的方法，用于时变时滞系统的稳定性分析。引入适当的Lyapunov函数和增强的Lyapunov函数以建立一些改进的依赖于延迟的稳定性标准。在估计Lyapunov泛函的导数上限并引入新的自由加权矩阵时，通过考虑其他有用的项（在以前的方法中将其忽略）可获得不太保守的结果。结果准则扩展到具有时变结构不确定性和多主题类型不确定性的不确定系统的稳定性分析。数值算例表明了该方法的有效性和优越性。

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