New global synchronization analysis for complex networks with coupling delay based on a useful inequality
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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.
KeywordsComplex networks Global synchronization Kronecker product Free-weighting matrices
This work was supported by the National Natural Science Foundation of China (50977008, 60821063, 61034005), Program for New Century Excellent Talents in University of China (NCET-10-0306), National Basic Research Program of China (2009CB320601).
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