控制理论(社会学)
随机微分方程
差速器(机械装置)
数学
理论(学习稳定性)
非线性系统
时滞微分方程
应用数学
指数稳定性
计算机科学
随机偏微分方程
李雅普诺夫函数
作者
Wei Mao,Yanan Jiang,Liangjian Hu,Xuerong Mao
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2021-01-12
卷期号:27 (1): 569-
标识
DOI:10.3934/dcdsb.2021055
摘要
This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time \begin{document}$ \tau $\end{document} is bounded by \begin{document}$ \tau^* $\end{document} . Finally, an example is presented to illustrate our theory.
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