Exponential stability of cellular neural networks

In this paper, both the global exponential stability and the local exponential stability for a class cellular neural networks are discussed and new sufficient conditions are obtained. Specifically, we give a criterion for whether the cellular neural networks is globally exponentially stable or is locally exponentially stable. We also present an estimate on the domains of attraction of locally exponentially stable equilibrium point by constructing a suitable Lyapunov function and using the Taylor expansion method.