Fixed-time stability of a class of systems and its application on discontinuous neural networks

Abstract

This paper studies the fixed-time stability of the discontinuous uncertain inertial neural networks (INNs) with distributed delay and time-varying delay. The conditions required by the theorem are less conservative, and fairly accurate settling time (ST) estimation is given under the condition that the derivative of Lyapunov–Krasovskii function is not always less than 0. Then, by using Power-Mean inequality and other inequality techniques, the controller is designed to make the system stable. Finally, two numerical examples are given to show that our results improve the previous ones.