Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 38, Issue 11, Pages 2216-2228Publisher
WILEY
DOI: 10.1002/mma.3216
Keywords
exponential synchronization; graph theory; coupled system; time-varying delay
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Funding
- National Natural Science Foundation of China [11301112, 11171081, 11171056]
- NNSF of Shandong Province [ZR2013AQ003]
- China Postdoctoral Science Foundation [2013M541352]
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In this paper, the exponential synchronization problem of delayed coupled reaction-diffusion systems on networks (DCRDSNs) is investigated. Based on graph theory, a systematic method is designed to achieve exponential synchronization between two DCRDSNs by constructing a global Lyapunov function for error system. Two different kinds of sufficient synchronization criteria are derived in the form of Lyapunov functions and coefficients of drive-response systems, respectively. Finally, a numerical example is given to show the usefulness of the proposed criteria. Copyright (c) 2014 John Wiley & Sons, Ltd.
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