Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type CouplingReport as inadecuate




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Journal of Applied MathematicsVolume 2013 2013, Article ID 548375, 12 pages

Research ArticleDepartment of Mathematics, Xidian University, Xi’an 710071, China

Received 10 July 2013; Revised 23 August 2013; Accepted 28 August 2013

Academic Editor: Zhiwei Gao

Copyright © 2013 Shi Miao and Li Junmin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.





Author: Shi Miao and Li Junmin

Source: https://www.hindawi.com/



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