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Open Access

Weight Identification of a Weighted Bipartite Graph Complex Dynamical Network with Coupling Delay

Journal of Inequalities and Applications20102010:805178

https://doi.org/10.1155/2010/805178

Received: 25 March 2010

Accepted: 16 July 2010

Published: 2 August 2010

Abstract

We propose a network model, a weighted bipartite complex dynamical network with coupling delay, and present a scheme for identifying the weights of the network. Based on adaptive synchronization technique, weight trackers are designed for identifying the edge weights between nodes of the network by monitoring the dynamical evolution of the synchronous networks with drive-response structure. The conclusion is proved theoretically by Lyapunovs stability theory and LaSalle's invariance principle. Compared with the similar works, taking into consideration the structural characteristics of the network, the tracking devices designed in our paper are more effective and more easy to implement. Finally, numerical simulations show the effectiveness of the proposed method.

Keywords

Bipartite GraphStability TheoryEdge WeightFull ArticleInvariance Principle

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Authors’ Affiliations

(1)
College of Science, Guilin University of Technology, Guilin, China

Copyright

© Zhen Jia and Guangming Deng. 2010

This article is published under license to BioMed Central Ltd. 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.

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