Global synchronization for a class of dynamical complex networks

作者：Liu Xian^*; Wang Jinzhi; Huang Lin

来源：Physica A: Statistical Mechanics and Its Applications , 2007, 386(1): 543-556.

DOI：10.1016/j.physa.2007.08.029

• dynamical complex network
• global synchronization
• Lur'e system
• KYP lemma
• linear matrix inequality (LMI)

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.

• 出版日期2007-12-1
• 单位北京大学