Electron. J. Diff. Eqns., Vol. 2007(2007), No. 89, pp. 1-12.

Global robust dissipativity of integro-differential systems modelling neural networks with time delay

Baotong Cui, Xuyang Lou

Abstract:
In this paper, the global robust dissipativity of integro-differential systems modeling neural networks with time delay is studied. Several sufficient conditions are derived to ensure the global robust dissipativity of the neural networks proposed by using proper Lyapunov functionals and some analytic techniques. The results are shown to improve the previous global dissipativity results derived in the literature. Some examples are given to illustrate the correctness of our results.

Submitted March 22, 2007. Published June 15, 2007.
Math Subject Classifications: 45J05, 92B20.
Key Words: Neural network; integro-differential system; global dissipativity; Lyapunov functional.

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Baotong Cui
College of Communication and Control Engineering
Jiangnan University, 1800 Lihu Rd.
Wuxi, Jiangsu 214122, China
email: btcui@vip.sohu.com
Xuyang Lou
College of Communication and Control Engineering
Jiangnan University, 1800 Lihu Rd.
Wuxi, Jiangsu 214122, China
eamil: louxuyang28945@163.com

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