4.7 Article

Global exponential stability of impulsive complex-valued neural networks with both asynchronous time-varying and continuously distributed delays

Journal

NEURAL NETWORKS
Volume 81, Issue -, Pages 1-10

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2016.04.012

Keywords

Complex-valued neural networks; Stability; Impulsive effects; Asynchronous time-varying delays; Distributed delays

Funding

  1. National Natural Science Foundation of China [61273021, 61473332, 61403051]

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This paper investigates the stability problem for a class of impulsive complex-valued neural networks with both asynchronous time-varying and continuously distributed delays. By employing the idea of vector Lyapunov function, M-matrix theory and inequality technique, several sufficient conditions are obtained to ensure the global exponential stability of equilibrium point. When the impulsive effects are not considered, several sufficient conditions are also given to guarantee the existence, uniqueness and global exponential stability of equilibrium point. Two examples are given to illustrate the effectiveness and lower level of conservatism of the proposed criteria in comparison with some existing results. (C) 2016 Elsevier Ltd. All rights reserved.

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