Global synchronization for a class of dynamical complex networks
Global synchronization for a class of dynamical complex networks
复制标题
DOI：
10.1016/j.physa.2007.08.029
复制
发表时间：
2007-12
影响因子：
3.3
通讯作者：
Xian Liu;Jinzhi Wang;Lin Huang
中科院分区：
文献类型：
--
作者：
Xian Liu;Jinzhi Wang;Lin Huang
研究了一类由一般Lur 'e系统组成的动态复杂网络的全局同步问题。基于绝对稳定性理论和Kalman-Yakubovich-Popov（KYP）引理，给出了具有复杂拓扑结构、有向耦合和加权耦合的动力学网络实现全局同步的充分条件.对于无向动态网络，本文还提出了几个以线性矩阵不等式或频域不等式形式表示的全局同步准则。为了获得全局结果，没有线性化技术涉及通过推导的同步标准。数值算例验证了所得结果的有效性.
This paper is concerned with the problem of global synchronization for a class of dynamical complex networks composed of general Lur’e systems. Based on the absolute stability theory and the Kalman–Yakubovich–Popov (KYP) lemma, sufficient conditions are established to guarantee global synchronization of dynamical networks with complex topology, directed and weighted couplings. Several global synchronization criteria formulated in the form of linear matrix inequalities (LMIs) or frequency-domain inequalities are also proposed for undirected dynamical networks. In order to obtain global results, no linearization technique is involved through derivation of the synchronization criteria. Numerical examples are provided to demonstrate the effectiveness of the proposed results.