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×÷ÕߣºRuofeng Rao, Gaozhi Tang, Jiuqi Gong, Xiaoyan Wan, Guanghong Wu, Qiao Zhang,  Shouming Zhong
ÎÄÕ±êÌ⣺Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays
ÆÚ¿¯Ãû£ºComplexity
È«ÎÄÁ´½ÓÓëDOI: https://doi.org/10.1155/2018/6263931
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Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays
×÷Õß: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 ]
COMPLEXITY
ÎÄÏ׺Å: 6263931
DOI: 10.1155/2018/6263931
³ö°æÄê:2018
ÎÄÏ×ÀàÐÍ:Article
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ÕªÒª
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.
¹Ø¼ü´Ê
KeyWords Plus:MARKOVIAN JUMPING PARAMETERS; EXPONENTIAL STABILITY; VARYING DELAYS; DIFFERENTIAL-EQUATIONS; SYSTEMS; STABILIZATION; INVARIANT; IMPULSES; SET; SYNCHRONIZATION
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Rao, RF (ͨѶ×÷Õß)
ÏÔʾ¸ü¶à        Chengdu Normal Univ, Dept Math, Chengdu 61130, Sichuan, Peoples R China.
µØÖ·:
ÏÔʾ¸ü¶à        [ 1 ] Chengdu Normal Univ, Dept Math, Chengdu 61130, Sichuan, Peoples R China
ÏÔʾ¸ü¶à        [ 2 ] Univ Elect Sci & Technol China, Coll Math, Chengdu 611731, Sichuan, Peoples R China
µç×ÓÓʼþµØÖ·:ruofengrao@163.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
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
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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WILEY-HINDAWI, ADAM HOUSE, 3RD FL, 1 FITZROY SQ, LONDON, WIT 5HE, ENGLAND
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mathematics; Science & Technology - Other Topics
Web of Science Àà±ð:Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
ÎÄÏ×ÐÅÏ¢
ÓïÑÔ:English
Èë²ØºÅ: WOS:000440454200001
ISSN: 1076-2787
eISSN: 1099-0526
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IDS ºÅ: GO9UV
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2Â¥: Originally posted by baiyuefei at 2018-08-20 08:20:15
Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays
×÷Õß:Rao, RF (Rao, Ruofeng) ; Tang, GZ (Tang, Gaozhi) ; Gong, JQ (Gong, Jiuqi) ; Wan, XY (W ...

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