The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays

Xinhong Zhang, Wenxue Li and Ke Wang

Applied Mathematics and Computation, 2015, vol. 264, issue C, 208-217

Abstract: In this paper, we establish sufficient conditions for the existence and global exponential stability of periodic solution to a type of neutral coupled system on networks with delays. The key to prove the existence of periodic solutions is using the combined method of graph theory, coincidence degree theory and Lyapunov functional method. And the sufficient conditions are easy to be checked. Finally, a numerical simulation is carried out to show the correctness of our main results.

Keywords: Periodic solutions; Graph theory; Coincidence degree theory; Neutral coupled system on networks; Global exponential stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:264:y:2015:i:c:p:208-217

DOI: 10.1016/j.amc.2015.04.109

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