Outer synchronization of drive-response dynamical networks via adaptive impulsive pinning control

Outer synchronization of drive-response dynamical networks via adaptive impulsive pinning control
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通过自适应脉冲钉扎控制实现驱动响应动态网络的外同步

DOI:
10.1016/j.jfranklin.2015.06.016
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发表时间:
2015-10
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Fu Xinchu
Fu Xinchu
中科院分区:
其他
文献类型:
--
作者:
Wu Zhaoyan;Chen Guanrong;Fu Xinchu

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研究了驱动网络和响应网络通过自适应脉冲钉扎控制实现外同步的问题。在钉扎控制方案中,根据不同脉冲时刻的同步误差自适应地改变受控节点。基于李雅普诺夫函数方法和数学分析,精确地推导出了同步判据。在此准则下,估计了两个给定网络实现外同步所需的脉冲间隔。进一步,设计了节点到节点钉扎脉冲控制器的自适应控制策略,并给出了相应的同步条件。在所提出的自适应控制方案中,随着时间的推移,脉冲时刻调整自己所需要的值,并开发和评估用于确定脉冲时刻的算法。数值算例表明了理论结果的有效性。
In this paper, outer synchronization between drive and response networks via adaptive impulsive pinning control is investigated. In the pinning control scheme, the controlled nodes are changed adaptively according to the synchronization errors at different impulsive instants. Based on the Lyapunov function method and mathematical analysis, a synchronization criterion is precisely derived. Under this criterion, the impulsive intervals for achieving outer synchronization of two given networks are estimated. Further, an adaptive strategy is designed for a node-to-node pinning impulsive controller, with a corresponding synchronization condition derived. In the proposed adaptive control scheme, the impulsive instants adjust themselves to the needed values as time goes on, and an algorithm for determining the impulsive instants is developed and evaluated. The theoretical results are illustrated to be effective by several numerical examples.
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影响因子: 5.6
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