4.6 Article

Stability of Markovian jumping recurrent neural networks with discrete and distributed time-varying delays

Journal

NEUROCOMPUTING
Volume 149, Issue -, Pages 1280-1285

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2014.09.001

Keywords

Discrete and distributed delays; Lyapunov functional; Linear matrix inequality; Markovian jumping parameters; Recurrent neural networks

Funding

  1. NBHM [2/48(10)/2011-RD-II/865]

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In this paper, global stability of Markovian jumping recurrent neural networks with discrete and distributed delays (MJRNN) is considered. A novel linear matrix inequality (LMI) based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of Markovian jumping recurrent neural networks with discrete and distributed delays. By applying Lyapunov method and some inequality techniques, several sufficient conditions are obtained under which the delayed neural networks are stable. Finally, numerical examples are given to demonstrate the correctness of the theoretical results. (c) 2014 Elsevier B.V. All rights reserved.

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