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Erschienen in: Cognitive Neurodynamics 1/2016

01.02.2016 | Research Article

New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method

verfasst von: R. Suresh Kumar, G. Sugumaran, R. Raja, Quanxin Zhu, U. Karthik Raja

Erschienen in: Cognitive Neurodynamics | Ausgabe 1/2016

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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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Metadaten
Titel
New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method
verfasst von
R. Suresh Kumar
G. Sugumaran
R. Raja
Quanxin Zhu
U. Karthik Raja
Publikationsdatum
01.02.2016
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 1/2016
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-015-9356-y

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