Synchronization of hybrid-coupled heterogeneous networks: Pinning control and impulsive control schemes

Synchronization of hybrid-coupled heterogeneous networks: Pinning control and impulsive control schemes
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混合耦合异构网络的同步:钉扎控制和脉冲控制方案

DOI:
10.1016/j.jfranklin.2013.12.017
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发表时间:
2014-05
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Jinde Cao
Jinde Cao
中科院分区:
其他
文献类型:
--
作者:
Jianqiang Hu;Jinling Liang;Jinde Cao

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本文研究了时滞混合耦合异构网络的同步控制问题,即具有不相同动态节点的复杂网络。设计了一些有效的控制方案,使整个网络全局渐近同步到任意目标轨迹。通过对整个网络进行开环控制,并仅对一小部分节点进行反馈控制,得到了一个易于验证的保证所研究的复杂网络渐近同步的充分条件。此外,为了减小反馈控制增益,将自适应控制方案的思想结合在一起,并进一步削弱了验证条件。最后,通过在开环网络中引入脉冲,利用改进的Halanay不等式,对复杂网络提出了新的同步准则。并对所得到的理论结果和具体的钉钉方案进行了比较。通过无向无标度网络和有向小世界网络的数值算例,验证了所提理论结果的适用性和有效性。
In this paper, the synchronization control problem is considered for the delayed hybrid-coupled heterogeneous networks, i.e., complex networks with nonidentical dynamical nodes. Some effective control schemes are designed under which the whole network is globally asymptotically synchronized to an arbitrary objective trajectory. By imposing the open-loop control on the whole network together with the feedback control only on a small fraction of the nodes, an easy-to-verify sufficient condition is derived to guarantee the asymptotic synchronization of the complex network under study. Furthermore, to decrease the feedback control gains, the idea of adaptive control scheme is combined together, and the verified conditions are further weakened. Finally, by introducing the impulses to the open-loop network and using the improved Halanay inequality, other novel synchronization criteria are developed for the complex network. Comparisons of the obtained theoretical results as well as the detail pinning schemes are also given. Numerical examples of the undirected scale-free network and the directed small-world network are illustrated to demonstrate the applicability and efficiency of the proposed theoretical results.
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