Stability Analysis of Fractional Order Hopfield Neural Networks with Optimal Discontinuous Control

摘要

This paper studies global stability problem for fractional order Hopfield neural networks (FHNNs) via optimal discontinuous control. To solve this problem, intermittent control is designed. Based on stability theorem for fractional order systems and the properties of Mittag–Leffler function, some sufficient and easy checked conditions are derived to ensure global stability of FHNNs by using the iterative computation of Mittag–Leffler function. In addition, the process of optimal period discontinuous controller design is presented. Simulation example is given to show the effectiveness of the obtained theoretical results.