具有半马尔可夫跳变时变时滞混沌Lur’e系统的同步控制
Synchronization Control of Chaotic Lur’e Systems with Semi-Markovian Jump and Time-Varying Delay
DOI: 10.12677/PM.2022.125084, PDF,    国家自然科学基金支持
作者: 秦 娅, 熊良林*, 蔡 丽：云南民族大学数学与计算机科学学院，云南 昆明
关键词: 时变时滞；半马尔可夫跳变；混沌Lur’e系统；同步控制；Time-Varying Delay； Semi-Markovian Jump； Chaotic Lur’e System； Synchronous Control
摘要: 本文研究一类具有半马尔可夫跳变时变时滞混沌Lur’e系统的同步控制问题。基于Lyapunov-Krasovskii泛函和线性矩阵不等式技巧，充分运用两个零等式，给出一个保证系统随机稳定的延迟状态反馈控制器存在的充分条件。通过仿真实例说明所提方法的有效性。
Abstract: This paper investigates the synchronization control of a class of chaotic Lur’e systems with semi-Markov jump and time-varying delay. Based on Lyapunov-Krasovskii functional and linear matrix inequality techniques, and making full use of two zero equations, a sufficient condition for the existence of a delayed state feedback controller to ensure the stochastic stability of the system is given. Simulation examples show the effectiveness of the proposed method.
文章引用：秦娅, 熊良林, 蔡丽. 具有半马尔可夫跳变时变时滞混沌Lur’e系统的同步控制[J]. 理论数学, 2022, 12(5): 739-748. https://doi.org/10.12677/PM.2022.125084

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