Periodically Intermittent Stabilization of Delayed Neural Networks Based on Piecewise Lyapunov Functions/Functionals

摘要

This paper is concerned with the stabilization problem of delayed neural networks via a periodically intermittent controller. Two cases of time-varying bounded delays are considered: one is the time-varying delay without any constraints on the delay derivative, while the other is the time-varying delay with the delay derivative less than 1. For the first case, a piecewise time-invariant Lyapunov function-based method is applied, and the derived stability criterion improves an existing result. For the second case, a piecewise time-varying Lyapunov functional is introduced to establish a new stability criterion. Then, the obtained stability criteria are employed to design periodically intermittent controllers. Finally, two numerical examples are provided to illustrate the merits of the proposed approach.