Summary

International Symposium on Nonlinear Theory and Its Applications

2015

Session Number:B3L-C

Session:

Number:B3L-C-1

A Unified Cluster Synchronization Criterion for Impulsive Delayed Dynamical Networks with Hybrid Coupling

Shuiming Cai,  Qiang Jia,  

pp.562-565

Publication Date:2015/12/1

Online ISSN:2188-5079

DOI:10.34385/proc.47.B3L-C-1

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Summary:
In this paper, the cluster synchronization problem is addressed for a class of impulsive delayed dynamical networks with hybrid coupling. A more general delayed coupling term including different transmission delay and self-feedback delay is considered. Based on the average impulsive interval approach, a novel unified globally exponential cluster synchronization criterion is derived, which is valid for delayed dynamical networks with synchronizing impulses or desynchronizing impulses simultaneously. It is shown that the derived unified criterion are related to impulse strengths, average impulsive interval, and the coupling structure of the networks.