程璐华,张宝琳

• 1:中国计量大学理学院

摘要(Abstract)：

目的:讨论一类具有时变时滞的线性系统渐近稳定性分析问题。方法:采用改进的三重积分不等式和凸组合方法,研究一类时变时滞线性系统渐近稳定的充分条件。结果:首先给出了一个新的改进的三重积分不等式;进而通过新构造的Lyapunov-Krasovskii泛函,基于新得到的三重积分不等式估计Lyapunov-Krasovskii泛函导数项中的三重积分项,并结合凸组合方法得到了时变时滞线性系统的渐近稳定性新判据。结论:该稳定性判据具有更小的保守性,仿真实例表明了本文方法的有效性。

关键词(KeyWords)： Lyapunov-Krasovskii泛函;线性矩阵不等式;时变时滞;积分不等式

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(No.61773356);; 浙江省自然科学基金重点项目(No.LZ19F030001)

作者(Author): 程璐华,张宝琳

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