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Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays
作者:Rao, RF (Rao, Ruofeng)[ 1 ] ; Tang, GZ (Tang, Gaozhi)[ 1 ] ; Gong, JQ (Gong, Jiuqi)[ 1 ] ; Wan, XY (Wan, Xiaoyan)[ 1 ] ; Wu, GH (Wu, Guanghong)[ 1 ] ; Zhang, Q (Zhang, Qiao)[ 1 ] ; Zhong, SM (Zhong, Shouming)[ 2 ]
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文献号: 6263931
DOI: 10.1155/2018/6263931
出版年:2018
文献类型:Article
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摘要
In this paper, a class of nonlinear p-Laplace diffusion BAM Cohen-Grossberg neural networks (BAM CGNNs) with time delays is investigated. In the case of p > 1 with p not equal 2, the authors construct novel Lyapunov functional to overcome the mathematical difficulties of nonlinear p-Laplace diffusion time-delay model with parameter uncertainties, deriving the LMI-based robust stability criterion applicable to computer MATLAB LMI toolbox and deleting the boundedness of the amplification functions. And in the case of p = 2, LMI-based sufficient conditions are also inferred for robust input-to-state stability of reaction-diffusion Markovian jumping BAM CGNNs with the event-triggered control, which is different from those of many previous related literature. In particular, the role of diffusion can be reflected in newly acquired criteria. Finally, numerical examples verify the effectiveness of the proposed methods.
关键词
KeyWords Plus:MARKOVIAN JUMPING PARAMETERS; EXPONENTIAL STABILITY; VARYING DELAYS; DIFFERENTIAL-EQUATIONS; SYSTEMS; STABILIZATION; INVARIANT; IMPULSES; SET; SYNCHRONIZATION
作者信息
通讯作者地址: Rao, RF (通讯作者)
显示更多 Chengdu Normal Univ, Dept Math, Chengdu 61130, Sichuan, Peoples R China.
地址:
显示更多 [ 1 ] Chengdu Normal Univ, Dept Math, Chengdu 61130, Sichuan, Peoples R China
显示更多 [ 2 ] Univ Elect Sci & Technol China, Coll Math, Chengdu 611731, Sichuan, Peoples R China
电子邮件地址:ruofengrao@163.com
基金资助致谢
基金资助机构 授权号
2018 teaching reform project of Chengdu Normal University titled "Financial mathematics course - Extended applications of stochastic process in dynamical system"
2018JG38
National Natural Science Foundation of China
61771004
61533006
Scientific Research Fund of Science Technology Department of Sichuan Province
2012JY010
Scientific Research Fund of Sichuan Provincial Education Department
18ZA0082
14ZA0274
12ZB349
08ZB002
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出版商
WILEY-HINDAWI, ADAM HOUSE, 3RD FL, 1 FITZROY SQ, LONDON, WIT 5HE, ENGLAND
类别 / 分类
研究方向:Mathematics; Science & Technology - Other Topics
Web of Science 类别:Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
文献信息
语言:English
入藏号: WOS:000440454200001
ISSN: 1076-2787
eISSN: 1099-0526
其他信息
IDS 号: GO9UV
Web of Science 核心合集中的 "引用的参考文献": 59
Web of Science 核心合集中的 "被引频次": 0
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