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

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.