Stability of cellular neural network with small delays

Ying Sue Huang; Chai Wah Wu

doi:10.3934/proc.2005.2005.420

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2005, Volume 2005: 420-426. Doi: 10.3934/proc.2005.2005.420 open access

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Stability of cellular neural network with small delays

Ying Sue Huang^1, and
Chai Wah Wu^2,

1.
Department of Mathematics, Pace University, Pleasantville, NY 10570
2.
IBM T. J. Watson Research Center, Yorktown Heights, NY 10598

Received: August 31, 2004

Revised: February 28, 2005

Published: August 2005

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Abstract

We consider a system of cellular neural networks with delays. By using appropriate Lyapunov functions, we obtain sufficient conditions so that the system is globally stable when the delay is small enough.

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Mathematics Subject Classification: 34K20, 34K15, 92B20.

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