Letters: Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach

Authors:
Tao Li;Xiaoling Ye
Affiliations:
Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China and School of Instrument Science and Engineering, Southeast Un ...;Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, the problem on global asymptotic stability analysis for a class of neural networks (NNs) with time-varying delays and general activation functions is considered. By employing a novel augmented Lyapunov-Krasoviskii functional (LKF), an improved stability condition is obtained in linear matrix inequalities form. The special cases of the obtained criterion turn out to be equivalent to some existing results but include the less number of variables. With the present stability conditions, the computational burden and conservatism are largely reduced. Examples are provided to demonstrate the advantage of the stability results.