摘要
In this paper, the global stability of Hopfield neural networks with delays are discussed, and the existence conditions of unique equilibrium is obtained. By making use of the Lyapunov functional method, the method of variation of constants and combining with the method of inequality analysis, some sufficient conditions for global exponential stability and global asymptotic stability of Hopfield neural networks with delays are obtained. These conditions can be used to design globally stable networks and thus have important significance in both theory and applications.
In this paper, the global stability of Hopfield neural networks with delays are discussed, and the existence conditions of unique equilibrium is obtained. By making use of the Lyapunov functional method, the method of variation of constants and combining with the method of inequality analysis, some sufficient conditions for global exponential stability and global asymptotic stability of Hopfield neural networks with delays are obtained. These conditions can be used to design globally stable networks and thus have important significance in both theory and applications.
