Pinning Synchronization of One-Sided Lipschitz Complex Networks

Fang Liu, Qiang Song, Jinde Cao and Jianquan Lu

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-8

Abstract:

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 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:627060

DOI: 10.1155/2014/627060

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