Chin. Phys. Lett.  2008, Vol. 25 Issue (11): 3894-3897    DOI:
Original Articles |
Improved Conditions for Global Asymptotic Stability of Cohen--Grossberg Neural Networks with Time-Varying Delays
CHEN Jun, CUI Bao-Tong, GAO Ming
College of Communication and Control Engineering, Jiangnan University, Wuxi 214122
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CHEN Jun, CUI Bao-Tong, GAO Ming 2008 Chin. Phys. Lett. 25 3894-3897
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Abstract The global asymptotic stability of delayed Cohen--Grossberg neural networks with impulses is investigated. Based on the new suitable Lyapunov functions and the Jacobsthal inequality, a set of novel sufficient criteria are derived for the global asymptotic stability of Cohen--Grossberg neural networks with time-varying delays and impulses. An illustrative example with its numerical simulations is given to demonstrate the effectiveness of the obtained results.
Keywords: 07.05.Mh     
Received: 27 August 2008      Published: 25 October 2008
PACS:  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2008/V25/I11/03894
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CHEN Jun
CUI Bao-Tong
GAO Ming
[1] Cohen M et al 1983 IEEE Trans. Man. Cybernet.
13 815
[2] Mohamad S 2007 J. Comput. Appl. Math. 205
161
[3] Cao J and Wang J 2004 Neural Networks 7
379
[4] Li Y 2005 Chaos Solitons and Fractals 24
279
[5] Cui BT et al 2006 Chaos, Solitons and Fractals
27 1347
[6] Wang L and Zou X 2002 Neural Networks 15 415
[7] Bai CZ 2008 Chaos, Solitons and Fractals 35
263
[8] Tu FH et al 2005 Chaos, Solitons and Fractals
26 927
[9] Joy M 2000 Neural Networks 13 613
[10] Liao X F et al 2004 Neural Networks 17 1401
[11] Zeng Z G and Wang J 2004 Neural Networks
19 2006 1528
[12] Wang Q and Lu Q 2005 Chin. Phys. Lett. 22
1329
[13] Cao J and Liang J 2004 J. Math. Anal. Appl.
296 665
[14] Song Q K et al 2007 J. Computat. Appl. Math.
202 266
[15] Wang L and Zou X 2002 Physica D 170 162
[16] Liu BW et al 2007 Chaos, Solitons and Fractals
32 617
[17] Cao J and Li XL 2005 Physica D 212 54
[18] Hu B and Zhang Y 1996 Chin. Phys. Lett.
131 1
[19] Chen J et al 2007 Int. J. Neural Systems
175 395
[20] Tan W and Wang Y N 2005 Chin. Phys. 14 72
[21] Zhang Q et al 2003 Chin. Phys. 12 22
[22] Zhang Q et al 2003 Acta Phys. Sin. 52 1606
(in Chinese)
[23] Lu H T 2002 Phys. Lett. A 298 109
[24] Liu X W et al 2007 Chin. Phys. 16 2272
[25] Guan Z H and Chen G 1999 Neural Networks 12
273
[26] Guan Z H et al 2000 Neural Networks 13 63
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