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Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy

机译:非线性随机动力网络的同步控制:固定脉冲策略

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In this paper, a new control strategy is proposed for the synchronization of stochastic dynamical networks with nonlinear coupling. Pinning state feedback controllers have been proved to be effective for synchronization control of state-coupled dynamical networks. We will show that pinning impulsive controllers are also effective for synchronization control of the above mentioned dynamical networks. Some generic mean square stability criteria are derived in terms of algebraic conditions, which guarantee that the whole state-coupled dynamical network can be forced to some desired trajectory by placing impulsive controllers on a small fraction of nodes. An effective method is given to select the nodes which should be controlled at each impulsive constants. The proportion of the controlled nodes guaranteeing the stability is explicitly obtained, and the synchronization region is also derived and clearly plotted. Numerical simulations are exploited to demonstrate the effectiveness of the pinning impulsive strategy proposed in this paper.
机译:本文提出了一种具有非线性耦合的随机动态网络同步控制策略。固定状态反馈控制器已被证明对状态耦合动态网络的同步控制有效。我们将显示钉扎脉冲控制器对于上述动态网络的同步控制也是有效的。根据代数条件得出了一些通用的均方稳定性准则,这些准则保证了通过将脉冲控制器放置在节点的一小部分上,可以将整个状态耦合动态网络强制达到某些期望的轨迹。给出了一种有效的方法来选择应在每个脉冲常数处控制的节点。明确地获得了保证稳定性的受控节点的比例,并且还导出了同步区域并清楚地绘制了该区域。数值模拟被用来证明本文提出的钉扎脉冲策略的有效性。

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