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Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks
Author(s) -
Guo Ying,
Ding Xiaohua
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4404
Subject(s) - mathematics , exponential stability , stability (learning theory) , exponential function , graph , computer science , mathematical analysis , discrete mathematics , nonlinear system , physics , quantum mechanics , machine learning
Global exponential stability for coupled neutral stochastic delayed systems on networks (CNSDSNs) is investigated in this paper. By means of combining the Razumikhin method with graph theory, some sufficient conditions that can be verified easily are derived to ensure the global exponential stability for CNSDSNs. Finally, a specific model of CNSDSNs is discussed, and numerical test manifests the effectiveness of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.