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New global synchronization analysis for complex networks with coupling delay based on a useful inequality

Research paper by Dawei Gong, Huaguang Zhang, Zhanshan Wang, Bonan Huang

Indexed on: 09 Jul '11Published on: 09 Jul '11Published in: Neural computing & applications



Abstract

This paper is concerned with the problem of global synchronization for a general complex networks. Based on a useful inequality and Kronecker product technique, a new criterion is obtained, which has fewer unknown variables and is a significant improvement in the performance. Synchronization criteria are derived by some new mathematical skills and Schur complement. The result is expressed by linear matrix inequalities, which can be easily computed and checked in practice. Finally, numerical examples will be used to show the effectiveness of the obtained result.