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Exponentially Synchronization of Stochastic Complex Networks with Time-varying Delays and Switching Topology via Pinning Control

机译:具有时变时滞和通过固定控制切换拓扑的随机复杂网络的指数同步

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摘要

In this paper, the exponentially synchronization is investigated for stochastic complex networks with both switching topology and time-varying delays via pinning control. The model of complex network is quite general since many factors such as noise perturbations, switching topology and internal and outer time-varying delays are considered. By employing the Lyapunov-Krasovskii functional, the It¡§o formula, stochastic analysis theory as well as linear matrix inequality (LMI), the sufficient conditions are derived to guarantee the exponentially synchronization. The numerical examples are provided to show the effectiveness of the theoretical results.
机译:本文通过钉扎控制研究了具有切换拓扑和时变时延的随机复杂网络的指数同步。复杂网络的模型相当笼统,因为考虑了许多因素,例如噪声扰动,开关拓扑以及内部和外部时变延迟。通过使用Lyapunov-Krasovskii泛函,It'o公式,随机分析理论以及线性矩阵不等式(LMI),导出了足以保证指数同步的条件。数值算例表明了理论结果的有效性。

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