Electron. J. Diff. Eqns., Vol. 2008(2008), No. 133, pp. 1-8.

Exponential convergence for BAM neural networks with distributed delays

Yongkun Li, Yaping Ren

This paper concerns the exponential convergence of bidirectional associative memory (BAM) neural networks with unbounded distributed delays. Sufficient conditions are derived by exploiting the exponentially fading memory property of delay kernel functions. The method is based on comparison principle of delay differential equations and does not need the construction of any Lyapunov functions.

Submitted July 14, 2008. Published September 26, 2008.
Math Subject Classifications: 92B20, 34K20.
Key Words: Bidirectional associative memory networks; delay kernels; exponential convergence.

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  Yongkun Li
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: yklie@ynu.edu.cn
Yaping Ren
School of Statistics and Mathematics
Yunnan University of Finance and Economics
Kunming 650221, China
email: ren_yaping5@yahoo.com.cn

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