Formula omitted] stabilization of positive neural networks with multiple time-varying delays

Abstract

This paper studies Lp stabilization problem of the positive neural networks (NNs) with multiple time-varying delays. The delays can be bounded or unbounded. Firstly, a system solution-based new method is proposed, from which new Lp stabilization criteria are obtained. This method does not need to establish any Lyapunov–Krasovskii functional, which can greatly reduce the amount of calculations. The obtained Lp stabilization conditions are simpler, and can be checked by standard software tools. The advantages of the obtained Lp stabilization conditions are demonstrated with representative numerical examples. It is worth emphasizing that the Lp stabilization problem of positive NNs with multiple time-varying delays is addressed for the first time.