Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Multiple Discrete Delays

Anhua Wan,Hong Qiao,Weihua Mao,Bo Zhang

doi:10.1007/978-3-540-74205-0_6

Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Multiple Discrete Delays

Anhua Wan, Hong Qiao + Show 2 more

https://doi.org/10.1007/978-3-540-74205-0_6

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Publication Date: Jan 1, 2007

Citations: 1

Affiliation: Sun Yat-sen University, Shandong Institute of Automation, Chinese Academy of Sciences, South China Agricultural University, South China University of Technology

#Asymptotic Stability Of Neural Networks #Multiple Delays + Show 8 more

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Abstract

The asymptotic stability is analyzed for Cohen-Grossberg neural networks with multiple discrete delays. The boundedness, differentiability or monotonicity condition is not assumed on the activation functions. The generalized Dahlquist constant approach is employed to examine the existence and uniqueness of equilibrium of the neural networks, and a novel Lyapunov functional is constructed to investigate the stability of the delayed neural networks. New general sufficient conditions are derived for the global asymptotic stability of the neural networks with multiple delays.

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