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2007•Journal of Hunan UniversityRequires access

Global Exponential Stability of Higher-order Hopfield Type Neural Networks with Delays

Chen Xin-nian

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Abstract

Based on the extended Hanalay's inequality and the upper-right derivative,the global exponential stability for the second order Hopfield neural networks with time delays was investigated.Under the conditions that the parameter of the systems was a M-matrix,the sufficient conditions of the global exponential stability for the second order Hopfield neural networks with time delays was obtained.

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What this paper is about

Based on the extended Hanalay's inequality and the upper-right derivative,the global exponential stability for the second order Hopfield neural networks with time delays was investigated.Under the conditions that the parameter of the systems was a M-matrix,the sufficient conditions of the global exponential stability for the second order Hopfield neural networks with time delays was obtained.

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Available abstract

Based on the extended Hanalay's inequality and the upper-right derivative,the global exponential stability for the second order Hopfield neural networks with time delays was investigated.Under the conditions that the parameter of the systems was a M-matrix,the sufficient conditions of the global exponential stability for the second order Hopfield neural networks with time delays was obtained.

Key concepts: Exponential stability, Hopfield network, Artificial neural network, Stability (learning theory), Exponential function, Control theory (sociology), Mathematics, Applied mathematics

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