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变时滞随机模糊细胞神经网络的全局指数稳定性
引用本文:赵山崎,周立群. 变时滞随机模糊细胞神经网络的全局指数稳定性[J]. 天津师范大学学报(自然科学版), 2014, 0(3): 17-20
作者姓名:赵山崎  周立群
作者单位:天津师范大学数学科学学院,天津300387
基金项目:国家自然科学基金资助项目(61374009);天津市高等学校科技发展基金资助项目(20100813)
摘    要:
通过构造合适的Lyapunov泛函,利用It微分算子和不等式的分析技巧研究一类变时滞随机模糊细胞神经网络平衡点的全局指数稳定性,得到了该模型全局指数稳定的一个时滞独立和一个时滞依赖的充分条件.最后通过数值算例验证结论的有效性.

关 键 词:变时滞  随机模糊细胞神经网络  It?微分算子  全局指数稳定性

Global exponential stability of stochastic fuzzy cellular neural networks with time-varying delays
ZHAO Shanqi,ZHOU Liqun. Global exponential stability of stochastic fuzzy cellular neural networks with time-varying delays[J]. Journal of Tianjin Normal University(Natural Science Edition), 2014, 0(3): 17-20
Authors:ZHAO Shanqi  ZHOU Liqun
Affiliation:(College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China)
Abstract:
Global exponential stability of equilibrium point of a class of stochastic fuzzy cellular neural networks with time- varying delays is studied by constructing proper Lyapunov functional, using the Ito differential formula and inequality technique. A delay-independent sufficient condition and a delay-dependent sufficient condition for the global exponential stability are obtained. Finally, an illustrative example is given to show the effectiveness of the obtained results.
Keywords:time-varying delays  stochastic fuzzy cellular neural networks  It8 differential formula  global exponential stability
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