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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


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zqianhong: ½ð±Ò+5, ¡ï¡ï¡ïºÜÓаïÖú 2021-06-23 09:31:47
sunshan4379: LS-EPI+1, ¸ÐлӦÖú! 2021-06-24 10:32:53
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

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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

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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.
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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
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SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS

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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

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IDS ºÅ: AI7FS

Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 31

Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 54
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