Effect of leakage delay on finite time boundedness of impulsive high-order neutral delay generalized neural networks

Abstract

This paper investigates the impulsive effects on the finite time boundedness (FTB) and the FTB-stabilization for a high-order neutral-type neural networks (HONNNs) with leakage delay and mixed time-varying delay including both discrete and infinite distributed delays. The average impulsive interval technique and Lyapunov–Krasovskii functional (LKF) method are employed to derive sufficient conditions for the effect of the time delay in the leakage term on FTB in presence of destabilizing impulses. These conditions are in the form of linear matrix inequalities (LMIs) which can be numerically checked. Moreover, a state delay-free feedback control is designed to ensure the FTB-stabilization for impulsive HONNNs. Our theoretical results are further substantiated by numerical examples with graphical illustrations to confirm them and show their effectiveness.