Title: Global exponential stability for stochastic Cohen-Grossberg neural networks with multiple time-varying delays
Authors: N. Mala; A.R. Sudamani Ramaswamy
Addresses: Department of Mathematics, Kovai Kalaimagal College of Arts and Science, Coimbatore-641 109, Tamil Nadu, India ' Department of Mathematics, Avinashilingam Deemed University for Women, Coimbatore-641 043, Tamil Nadu, India
Abstract: In this paper, together with some Lyapunov functionals and effective mathematical techniques, sufficient conditions are derived to guarantee a class of stochastic Cohen-Grossberg neural networks with multiple time-varying delays to be globally exponential stability by using linear matrix inequality (LMI) approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method by using MATLAB LMI toolbox.
Keywords: global exponential stability; linear matrix inequality; LMI; Lyapunov functional; multiple time-varying delays; stochastic Cohen-Grossberg neural networks.
International Journal of Mathematical Modelling and Numerical Optimisation, 2013 Vol.4 No.4, pp.374 - 386
Received: 16 May 2013
Accepted: 22 Oct 2013
Published online: 07 Feb 2014 *