非线性系统
控制理论(社会学)
离散时间和连续时间
理论(学习稳定性)
李雅普诺夫函数
马尔可夫过程
有界函数
数学
国家(计算机科学)
计算机科学
控制(管理)
物理
数学分析
算法
统计
量子力学
人工智能
机器学习
作者
Jin Li,Ying Guo,Xiaotong Liu,Yifan Zhang
标识
DOI:10.1016/j.chaos.2023.114326
摘要
This paper investigates the stabilization of highly nonlinear stochastic coupled systems (HNSCSs) with Markovian switching under discrete-time state observations control. Different from most existing literature, the condition in which the diffusion coefficient and drift coefficient fulfill the linear growth condition is removed. In other words, the coupled systems considered are highly nonlinear. Combining the graph theory and Lyapunov method, we establish the stability criteria for HNSCSs with Markovian switching. Meanwhile, the upper bounded for duration between two successive state observations is proposed. Furthermore, the theoretical results are applied to study the stability of nonlinear electric RLC circuits. Lastly, a numerical example with simulations is provided to show the viability of obtained results.
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