Study of exponential stability of equilibrium neural networks

In this article, we consider the generalized Hopfield neural networks and some sufficient criteria are derived for study exponential stability of the equilibrium of Hopfield neural networks of the form C_idu_i/d_t=Σ_j=1ⁿ T_ijv_j-u_i/R_i+Ii i=1,2,...,n. by means of Lyapunov method and some analysis techniques, in which v_i=(λ_iu_i), and T=[T_ij]_n×n is a connection matrix, not requiring symmetric and all output responses g_i(_·) are the same. C_i > 0, R_i > 0 and I_i are called the capacitance, the resistance and the network external current input constants respectively of the ith neuron. The criteria are easy to check and apply in practice.0