2004•Unpublished venueRequires access

Exponential stability of the steady state solution of Hopfield neural networks with reaction-diffusion terms under the L/sub 2/ norm

Xinquan Zhao, Lei Zhou, Xiaoxin Liao

Abstract

In this paper, local asymptotic stability and global asymptotic stability of the steady state solutions of Hopfield neural networks with reaction-diffusion terms are investigated. Under the L/sub 2/ norm, applying the differential inequality some sufficiency criterions for local exponential stability and global exponential stability of the steady state solution of system are established.

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Key concepts: Exponential stability, Hopfield network, Reaction–diffusion system, Norm (philosophy), Mathematics, Steady state (chemistry), Applied mathematics, Stability (learning theory)