引用本文:黄家琳, 李兴贵.不动点方法与概率时滞脉冲模糊系统的稳定性[J].西南大学学报(自然科学版),2019,41(10):56~61
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不动点方法与概率时滞脉冲模糊系统的稳定性
黄家琳, 李兴贵1,2
1. 四川三河职业学院 基础部, 四川 泸州 646200;2. 成都师范学院 数学学院, 成都 611130
摘要:
通过在完备距离空间上定义压缩映射,利用T-S模糊规则、概率时滞的相关性质和压缩映像原理导出了一类T-S模糊概率时滞脉冲双向联想记忆神经网络的稳定性的代数判据.特点在于,导出系统解的存在性的同时给出了该解的稳定性结论.最后,数值实例证实了所述方法的有效性.
关键词:  双向联想记忆神经网络  概率时滞  不动点定理
DOI:10.13718/j.cnki.xdzk.2019.10.008
分类号:O193
基金项目:国家973项目(2010CB732501);成都师范学院2018年国家级大学生创新创业训练计划项目(201814389083).
The Fixed Point Theorem and the Stability of Fuzzy Impulsive Systems with Probability Time-Delays
HUANG Jia-lin, LI Xing-gui1,2
1. Department of Elementary Education, Sichuan Sanhe College of Professionals, Luzhou Sichuan 646200, China;2. Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Abstract:
By defining a contraction mapping on a complete distance space, the authors employ the T-S fuzzy rule, probabilistic time-delay property and contraction mapping principle to derive an algebraic criterion for the stability of a class of T-S fuzzy probabilistic time-delay impulsive Bidirectional Associative Memory neural networks. Remarkably, the stability of the solution is given as soon as the existence of the solution of the system is derived. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Key words:  bi-directional associative memory neural networks  probability time-delay  fixed point theorem
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