title: New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method.
abstract: This paper analyzes the global asymptotic stability of a class of neural networks with time delay in the leakage term and time-varying delays under impulsive perturbations. Here the time-varying delays are assumed to be piecewise. In this method, the interval of the variation is divided into two subintervals by its central point. By developing a new Lyapunov-Krasovskii functional and checking its variation in between the two subintervals, respectively, and then we present some sufficient conditions to guarantee the global asymptotic stability of the equilibrium point for the considered neural network. The proposed results which do not require the boundedness, differentiability and monotonicity of the activation functions, can be easily verified via the linear matrix inequality (LMI) control toolbox in MATLAB. Finally, a numerical example and its simulation are given to show the conditions obtained are new and less conservative than some existing ones in the literature.
authors.affiliation: Department of Electrical and Electronic Engineering, Anna University Regional Centre, Coimbatore, 641 047 India.
authors.forename: R Suresh
authors.initials: RS
authors.lastname: Kumar
authors.affiliation: Department of Electrical and Electronic Engineering, Sri Krishna College of Engineering and Technology, Coimbatore, 641 008 India.
authors.forename: G
authors.initials: G
authors.lastname: Sugumaran
authors.affiliation: Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi, 630 004 India.
authors.forename: R
authors.initials: R
authors.lastname: Raja
authors.affiliation: School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing, 210 023 China.
authors.forename: Quanxin
authors.initials: Q
authors.lastname: Zhu
authors.affiliation: Department of Mathematics, K.S.R College of Arts and Science, Thiruchengodu, 637 215 India.
authors.forename: U Karthik
authors.initials: UK
authors.lastname: Raja
keywords: Asymptotic stability; Impulse; Leakage delay; Lyapunov–Krasovskii functional; Time-varying delay
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