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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 ·¢±íÄ꣺ 2018@°¢Å¬ |
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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 ²é¿´ÆÚ¿¯Ó°ÏìÁ¦ 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¢ ³ö°æÉÌ 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 ÆäËûÐÅÏ¢ IDS ºÅ: GO9UV Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 59 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 ²é¿´½ÏÉÙÊý¾Ý×Ö¶Î ÒýÎÄÍøÂç ÔÚ Web of Science ºËÐĺϼ¯ ÖÐ 0 ±»ÒýƵ´Î ´´½¨ÒýÎĸú×Ù 59 ÒýÓõIJο¼ÎÄÏ× ²é¿´Ïà¹Ø¼Ç¼ ÓÃÓÚ Web of Science ÖÐ ÔÚ Web of Science ÖРʹÓôÎÊý 0 0 ×î½ü 180 Ìì 2013 ÄêÖÁ½ñ ½øÒ»²½Á˽⠴˼ǼÀ´×Ô: Web of Science ºËÐĺϼ¯ ½¨ÒéÐÞÕý Èç¹ûÏ£ÍûÌá¸ß´Ë¼Ç¼ÖÐÊý¾ÝµÄÖÊÁ¿£¬ÇëÌṩÐÞÕý½¨Òé¡£ µÚ 1 Ìõ£¬¹² 1 Ìõ ÒýÓõIJο¼ÎÄÏ×: 59 ÏÔʾ 30 / 59 ÔÚ "ÒýÓõIJο¼ÎÄÏ×" Ò³ÃæÖв鿴ȫ²¿½á¹û |
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