Pinning Synchronization of One-Sided Lipschitz Complex Networks

Fang Liu, Qiang Song, Jinde Cao, Jianquan Lu
2014 Discrete Dynamics in Nature and Society  
This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some simple pinning conditions are derived for one-sided Lipschitz complex networks with full-state and partial-state coupling, respectively. A selective pinning scheme is further provided to address the selection of pinned nodes and the
more » ... nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.
doi:10.1155/2014/627060 fatcat:m6wpldwuhfelrjge6gpotyhcsi