Stability Analysis Of Fractional Order Hopfield Neural Networks With Delays

In this paper, we analyze the stability properties of solutions of fractional order Hopfield neural networks with delays, including the finite-time stability and the global exponential stability. By establishing the corresponding Volterra integral equations and employing the Bellman-Gronwall inequality and the Bihari inequality, some sufficient conditions are obtained to assure the finite-time stability of solutions for the related systems. Two examples are presented to illustrate the advantages of our result. Furthermore, in terms of the Lyapunov-type functions, we get some new results for the existence and uniqueness of the equilibrium point and their global exponential stability.