New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method |
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Authors: | R Suresh Kumar G Sugumaran R Raja Quanxin Zhu U Karthik Raja |
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Institution: | 1.Department of Electrical and Electronic Engineering,Anna University Regional Centre,Coimbatore,India;2.Department of Electrical and Electronic Engineering,Sri Krishna College of Engineering and Technology,Coimbatore,India;3.Ramanujan Centre for Higher Mathematics,Alagappa University,Karaikudi,India;4.School of Mathematical Sciences and Institute of Finance and Statistics,Nanjing Normal University,Nanjing,China;5.Department of Mathematics,K.S.R College of Arts and Science,Thiruchengodu,India |
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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. |
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Keywords: | Asymptotic stability Time-varying delay Lyapunov–Krasovskii functional Leakage delay Impulse |
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