Adaptive Synchronization of Complex Dynamical Networks with Non-delayed and Delayed coupling
The paper investigates the global synchronization of nonlinearly coupled complex dynamical networks with non-delayed and delayed coupling. The delays are assumed to vary and be continuously differentiable. Adaptive controllers have been designed for nodes of the controlled networks based on Lyapunov stability theory. Analytical results show that the states of dynamical networks can globally asymptotically synchronize to a desired orbit under the designed controllers. What is more, the node dynamic need not satisfy the very strong and conservative uniformly Lipschita condition and the coupling matrix is not assumed to be symmetric or irreducible. A numerical example of undirected delayed dynamical networks is given, respectively, using the Lorenz system as the nodes of the networks, which demonstrates the effectiveness of proposed results.
Complex dynamical networks Adaptive synchronization Time-varying delay
Hongjie Li
College of Mathematics and Information Engineering, Jiaxing University, Jiaxing Zhejiang 314001
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
4010-4014
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）