Outer synchronization between two nonidentical networks with circumstance noise

Guanjun Wang, Jinde Cao and Jianquan Lu

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 7, 1480-1488

Abstract: This paper regards the outer synchronization between two delay-coupled complex dynamical networks with nonidentical topological structures and a noise perturbation. Considering one network as the drive network and the other one as the response network, the drive–response system achieves synchronous states through a suitably designed adaptive controller. The stochastic LaSalle invariance principle is employed to theoretically prove the almost sure synchronization between two networks. Finally, two numerical examples are examined in order to illustrate the proposed synchronization scheme.

Keywords: Complex network; Outer synchronization; Adaptive controller; Stochastic LaSalle theorem; Lyapunov function (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:7:p:1480-1488

DOI: 10.1016/j.physa.2009.12.014

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