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- Title
Stability of multigroup-coupled models by stochastic perturbations.
- Authors
Zhang, Chaolong; Deng, Feiqi; Zhao, Xueyan; Ren, Hongwei
- Abstract
This paper focuses on stability of multigroup-coupled models by stochastic perturbation. Based on combining graph theory with stochastic differential equation, new methods are obtained, and sufficient conditions on pth moment exponentially stable and almost surely exponentially stable for the multigroup-coupled models with stochastic perturbations are provided. These results are use for examining the stability of multigroup-coupled models by stochastic perturbations. The results show that the random part plays an important role in the stability of the multigroup-coupled models. It can be designed more easily in practice. At last, an example is worked out to demonstrate the effectiveness and advantage of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.
- Subjects
STOCHASTIC analysis; GRAPH theory; LYAPUNOV functions; EXPONENTIAL stability; NEURAL circuitry
- Publication
International Journal of Robust & Nonlinear Control, 2017, Vol 27, Issue 18, p4478
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.3804