New technology of synchronization for the uncertain dynamical network with the switching topology

作者：Lu, Ling^*; Li, Chengren; Chen, Liansong; Zhao, Guannan

来源：Nonlinear Dynamics, 2016, 86(1): 655-666.

DOI：10.1007/s11071-016-2913-z

• Synchronization
• Uncertain network
• Switching topology
• Identification

We propose a new technology to synchronize the uncertain dynamical network with the switching topology. In this new technology, we construct the Lyapunov function of network through designing a special function to obtain the network synchronization condition, which effectively avoids the complicated calculations for solving the second largest eigenvalue of the coupling matrix of the dynamical network. At the same time, the uncertain parameters in state equations at network nodes can also be identified accurately by the designed identification laws of uncertain parameters. Our results are universal without assumption about the symmetry of the coupling matrix in network, which can be widely used to research various topologies, no matter whether they are undirected or directed, weighted or unweighted, time-invariant or switching. And there are not any limitations for the synchronization target of network.

• 出版日期2016-10
• 单位辽宁师范大学