Intermittent Control Based Exponential Synchronization of Inertial Neural Networks with Mixed Delays

摘要

This article is devoted to the synchronization of delayed inertial neural systems by virtue of intermittent control scheme. In the proposed inertial models, a type of mixed delays is introduced which is composed of discrete delays and infinite distributed delays. Particulary, the finite distributed delays can be easily obtained by selecting specific kernel functions in infinite distribute delays. To realize exponential synchronization, different from the previous continuous designs for the first-order systems obtained by suitable substitutions of reduced-order, an intermittent control scheme is directly developed for the response inertial systems. Furthermore, a direct analysis method is proposed to derive the synchronization conditions by constructing a Lyapunov functional formed by the state variables and their derivatives. Lastly, the designed control scheme and established criteria are verified via providing a numerical example.