Stability Analysis of Second Order Hopfield Neural Networks With Time Delays

In this paper, the problem of global asymptotic stability of the second order Hopfield neural networks with time delays is investigated. We do not assume the symmetry of the connection matrix and do not require the input output functions to be differential or strictly monotonously increasing. Some sufficient conditions ensuring existence and global asymptoic stability of the equilibrium of the second order Hopfield neural networks with time delays are obtained by constructing suitable Lyapunov functionals. These sufficient conditions can be used to design globally stable second order Hopfield neural networks.