New synchronization stability of complex networks with an interval time-varying coupling delay

Authors:
Zhongyang Fei;Huijun Gao;Wei Xing Zheng
Affiliations:
School of Astronautics, Harbin Institute of Technology, Harbin, China;School of Astronautics, Harbin Institute of Technology, Harbin, China;School of Computing and Mathematics, University of Western Sydney, Penrith South DC, NSW, Australia
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

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Abstract

In this brief, the problem of synchronization stability analysis for complex dynamical networks with a time-varying coupling delay is studied. The delay considered in this brief is assumed to vary over an interval where the lower and upper bounds are known. By dividing the interval time-varying delay into a constant and a time-varying part and using a delay-partitioning approach, a new Lyapunov-Krasovskii functional is constructed. Based on this, a new delay-range-dependent criterion is obtained in terms of linear matrix inequalities. A numerical example is provided to show the effectiveness of the proposed results.