Stability of multigroup-coupled models by stochastic perturbations
Stability of multigroup-coupled models by stochastic perturbations
复制标题
随机扰动多群耦合模型的稳定性
DOI：
10.1002/rnc.3804
复制
发表时间：
2017
影响因子：
3.9
通讯作者：
Ren Hongwei
中科院分区：
文献类型：
--
作者：
Zhang Chaolong;Deng Feiqi;Zhao Xueyan;Ren Hongwei
本文主要研究随机扰动下多群耦合模型的稳定性。将图论与随机微分方程相结合，得到了新的方法，并给出了具有随机扰动的多群耦合模型p阶矩指数稳定和几乎处处指数稳定的充分条件.这些结果用于检验随机扰动下多群耦合模型的稳定性。结果表明，随机部分在多群耦合模型的稳定性中起着重要的作用。在实践中可以更容易地设计。最后通过一个算例验证了理论结果的有效性和优越性。版权所有© 2017约翰威利父子有限公司
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 onpth 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.