Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling

作者：Wen Sun; Chen Shihua; Guo Wanli

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2008, 372(42): 6340-6346.

DOI：10.1016/j.physleta.2008.08.059

• Complex network
• Global synchronization
• Non-delayed and delayed coupling
• Adaptive

This Letter investigates the global synchronization of a general complex dynamical network with nondelayed and delayed coupling. Based on Lasalle's invariance principle, adaptive global synchronization criteria is obtained. Analytical result shows that under the designed adaptive controllers, a general complex dynamical network with non-delayed and delayed coupling can globally asymptotically synchronize to a given trajectory. What is more, the node dynamic need not satisfy the very strong and conservative uniformly Lipschitz condition and the coupling matrix is not assumed to be symmetric or irreducible. Finally, numerical simulations are presented to verify the effectiveness of the proposed synchronization criteria.

• 出版日期2008-10-13
• 单位武汉大学