Distributed Robust Synchronization of Dynamical Networks With Stochastic Coupling
Distributed Robust Synchronization of Dynamical Networks With Stochastic Coupling
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DOI：
10.1109/tcsi.2013.2285699
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
Yang Tang;Huijun Gao;J. Kurths
中科院分区：
文献类型：
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作者：
Yang Tang;Huijun Gao;J. Kurths
利用进化算法研究了具有随机耦合的动态网络的鲁棒自适应同步问题。所考虑的复杂网络受到：1）随机方式的耦合项被考虑; 2）节点的动态中存在的不确定性; 3）钉扎分布同步也被考虑。利用李雅普诺夫函数方法和随机分析技术，分别以不等式的形式解决了动态网络的分布式鲁棒同步和分布式鲁棒钉扎同步问题.研究了度信息、随机耦合和不确定性对同步性能的影响，平均控制增益和收敛速度。针对分布式鲁棒钉扎同步问题的潜在保守性，提出了一种基于进化算法的优化方法，包括约束优化进化算法和凸优化方法，旨在改进传统的优化方法。仿真结果验证了所得结果的有效性和适用性。
This paper deals with the problem of robust adaptive synchronization of dynamical networks with stochastic coupling by means of evolutionary algorithms. The complex networks under consideration are subject to: 1) the coupling term in a stochastic way is considered; 2) uncertainties exist in the node's dynamics; and 3) pinning distributed synchronization is also considered. By resorting to Lyapunov function methods and stochastic analysis techniques, the tasks to get the distributed robust synchronization and distributed robust pinning synchronization of dynamical networks are solved in terms of a set of inequalities, respectively. The impacts of degree information, stochastic coupling, and uncertainties on synchronization performance, i.e., mean control gain and convergence rate, are derived theoretically. The potential conservativeness for the distributed robust pinning synchronization problem is solved by means of an evolutionary algorithm-based optimization method, which includes a constraint optimization evolutionary algorithm and a convex optimization method and aims at improving the traditional optimization methods. Simulations are provided to illustrate the effectiveness and applicability of the obtained results.