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Author£º Qianhong Zhang, Fubiao Lin, and Zhongni Zhang , Title£ºGlobal Asymptotic Stability of Fuzzy Cellular Neural Networks with Multiple Proportional Delay, Dynamic Systems and Applications 29 (2020) No. 12, 3306-3316 ÇóSCI¼ìË÷ÐÅÏ¢ |
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Global asymptotic stability of cellular neural networks with proportional delays ×÷Õß:Zhou, LQ (Zhou, Liqun) ²é¿´ Web of Science ResearcherID ºÍ ORCID NONLINEAR DYNAMICS ¾í: 77 ÆÚ: 1-2 Ò³: 41-47 DOI: 10.1007/s11071-014-1271-y ³ö°æÄê: JUL 2014 ÎÄÏ×ÀàÐÍ:Article ²é¿´ÆÚ¿¯Ó°ÏìÁ¦ ÕªÒª Proportional delay, which is different from distributed delay, is a kind of unbounded delay. The proportional delay system as an important mathematical model often rises in some fields such as physics, biology systems, and control theory. In this paper, the uniqueness and the global asymptotic stability of equilibrium point of cellular neural networks with proportional delays are analyzed. By using matrix theory and constructing suitable Lyapunov functional, delay-dependent and delay-independent sufficient conditions are obtained for the global asymptotic stability of cellular neural networks with proportional delays. These results extend previous works on these issues for the delayed cellular neural networks. Two numerical examples and their simulation are given to illustrate the effectiveness of obtained results. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Cellular neural networks (CNNs); Proportional delay; Global asymptotic stability (GAS); Lyapunov functional; Linear matrix inequality (LMI) KeyWords Plus:UNBOUNDED DISTRIBUTED DELAYS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIATED SERVICES; VARIABLE-COEFFICIENTS ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Tianjin Normal University Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China. ͨѶ×÷ÕßµØÖ·: Zhou, LQ (ͨѶ×÷Õß) ÏÔʾ¸ü¶à Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China. µØÖ·: ÏÔʾ¸ü¶à [ 1 ] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China µç×ÓÓʼþµØÖ·:zhouliqun20000@163.com »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ÏÔʾÏêÇé ÊÚȨºÅ National Natural Science Foundation of China (NSFC) 61374009 Tianjin Municipal Education commission 20100813 Foundation for Doctors of Tianjin Normal University 52LX34 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS ÆÚ¿¯ÐÅÏ¢ Ŀ¼£º Current Contents Connect Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports Àà±ð / ·ÖÀà Ñо¿·½Ïò:Engineering; Mechanics Web of Science Àà±ð:Engineering, Mechanical; Mechanics ÎÄÏ×ÐÅÏ¢ ÓïÑÔ:English Èë²ØºÅ: WOS:000337050800004 ISSN: 0924-090X eISSN: 1573-269X ÆäËûÐÅÏ¢ IDS ºÅ: AI7FS Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 31 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 54 |

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