Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump

Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump
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基于图论的半马尔可夫跳跃随机延迟复杂网络自适应间歇同步

DOI:
10.1016/j.amc.2019.124739
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发表时间:
2020-02
影响因子:
4
通讯作者:
Yong Zhao
Yong Zhao
中科院分区:
数学2区
文献类型:
--
作者:
Beibei Guo;Yu Xiao;Chiping Zhang;Yong Zhao

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研究了半马尔可夫跳变复杂网络的自适应非周期间歇控制指数同步问题。模型中考虑了时变时滞、随机扰动、半马尔可夫跳跃拓扑等因素,使模型具有更好的通用性。需要指出的是,本文还设计了一种半马尔可夫跳变自适应非周期间歇控制器。利用李雅普诺夫方法和图论相结合的方法对系统进行了同步分析。此外,建立了一些新的同步准则,这些准则与所考虑的网络的最大不受控比和拓扑结构密切相关。将所得结果应用于随机耦合振子,并通过数值仿真验证了所提控制策略的适用性和有效性.
This paper is concerned with exponential synchronization of semi-Markov jump complex networks via adaptive aperiodically intermittent control. Time-varying delay, stochastic perturbation, semi-Markov jump topology are all taken into consideration to make model more general. It should be pointed that, a semi-Markov jump adaptive aperiodically intermittent controller is designed as well. The synchronization analysis is carried out based on the combination of Lyapunov method and graph theory. Moreover, some novel synchronization criteria are established, which are closely related to the maximum uncontrolled ratio and the topological structure of considered networks. Furthermore, the obtained results are applied to stochastic coupled oscillators, and the corresponding numerical simulations are provided to illustrate the applicability and effectiveness of the proposed control strategy.
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