|Table of Contents|

[1] Li Tao, Fei Shumin, Zhu Qing,. Exponential stability criteria on neural networkswith continuously distributed delays [J]. Journal of Southeast University (English Edition), 2007, 23 (4): 529-533. [doi:10.3969/j.issn.1003-7985.2007.04.011]
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Exponential stability criteria on neural networkswith continuously distributed delays()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
23
Issue:
2007 4
Page:
529-533
Research Field:
Automation
Publishing date:
2007-12-30

Info

Title:
Exponential stability criteria on neural networkswith continuously distributed delays
Author(s):
Li Tao Fei Shumin Zhu Qing
School of Automation, Southeast University, Nanjing 210096, China
Keywords:
exponential stability neural networks free-weighting matrix continuously distributed delay linear matrix inequality
PACS:
TP183
DOI:
10.3969/j.issn.1003-7985.2007.04.011
Abstract:
The exponential stability of a class of neural networks with continuously distributed delays is investigated by employing a novel Lyapunov-Krasovskii functional.Through introducing some free-weighting matrices and the equivalent descriptor form, a delay-dependent stability criterion is established for the addressed systems.The condition is expressed in terms of a linear matrix inequality(LMI), and it can be checked by resorting to the LMI in the Matlab toolbox.In addition, the proposed stability criteria do not require the monotonicity of the activation functions and the derivative of a time-varying delay being less than 1, which generalize and improve earlier methods.Finally, numerical examples are given to show the effectiveness of the obtained methods.

References:

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[5] Park Ju H. On global stability criterion of neural networks with continuously distributed delays[J].Chaos, Solitons and Fractals, in press, available online at www.sciencedirect.com, 2006.
[6] Zhang Qiang, Wei Xiaopeng.Global exponential stability of Hopfield neural networks with continuously distributed delays[J].Physics Letters A, 2003, 315(6/7/8):431-436.
[7] Song Qiankun, Cao Jinde. Global exponential stability of bidirectional associative memory neural networks with distributed delays[J].Journal of Computational and Applied Mathematics, 2007, 202(2):266-279.
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Memo

Memo:
Biographies: Li Tao(1979—), male, graduate;Fei Shumin(corresponding author), male, doctor, professor, smfei@seu.edu.cn.
Last Update: 2007-12-20