Decentralized adaptive synchronization of an uncertain complex delayed dynamical network
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KünyeZhong, W., Zhao, J., & Dimirovski, G. M. (2009). Decentralized adaptive synchronization of an uncertain complex delayed dynamical network. Journal of Control Theory and Applications, 7(3), 225-230. http://dx.doi.org/10.1007/s11768-009-8032-3
In this paper, we investigate the locally and globally adaptive synchronization problem for an uncertain complex dynamical network with time-varying coupling delays based on the decentralized control. The coupling terms here are bounded by high-order polynomials with known gains that are ubiquitous in a large class of complex dynamical networks. We generalize the usual technology of searching for an appropriate coordinates transformation to change the network dynamics into a series of decoupled lower-dimensional systems. Several adaptive synchronization criteria are derived by constructing the Lyapunov-Krasovskii functional and Barbalat lemma, and the proposed criteria are simple in form and convenient for the practical engineering design. Numerical simulations illustrated by a nearest-neighbor coupling network verify the effectiveness of the proposed synchronization scheme.