Pinning synchronization of delayed complex dynamical networks with nonlinear coupling

Ranran Cheng, Mingshu Peng and Weibin Yu

Physica A: Statistical Mechanics and its Applications, 2014, vol. 413, issue C, 426-431

Abstract: In this paper, we find that complex networks with the Watts–Strogatz or scale-free BA random topological architecture can be synchronized more easily by pin-controlling fewer nodes than regular systems. Theoretical analysis is included by means of Lyapunov functions and linear matrix inequalities (LMI) to make all nodes reach complete synchronization. Numerical examples are also provided to illustrate the importance of our theoretical analysis, which implies that there exists a gap between the theoretical prediction and numerical results about the minimum number of pinning controlled nodes.

Keywords: Pinning synchronization; Complex dynamical networks; Delay; Lyapunov functions (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:413:y:2014:i:c:p:426-431

DOI: 10.1016/j.physa.2014.06.034

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