Impulse-dependent settling-time for finite time stabilization of uncertain impulsive static neural networks with leakage delay and distributed delays

This paper deals with the finite-time stabilization of uncertain static neural networks (USNNs) where impulsive effects, leakage delay and infinite distributed delay are taken into account. Firstly, two types of impulses containing stabilizing impulses (SI) and destabilizing impulses(DI) are considered. Secondly, the designed settling-time relies not just on initial conditions but also on impulse time sequences. Besides, the impulse inputs can be constructed such that a finite time stable system admits a desired upper bound on the settling-time. Finally, two numerical examples with graphical illustrations are provided to demonstrate the effectiveness of our theoretical main results. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This paper discusses the finite-time stabilization of uncertain static neural networks considering impulsive effects, leakage delay, and infinite distributed delay. The settling-time design depends not only on initial conditions but also on impulse time sequences, and impulse inputs can be constructed to achieve a desired upper bound on the settling-time. Numerical examples are provided to demonstrate the effectiveness of the theoretical main results.