4.6 Article

New global exponential stability conditions for inertial Cohen-Grossberg neural networks with time delays

Journal

NEUROCOMPUTING
Volume 151, Issue -, Pages 1446-1454

Publisher

ELSEVIER
DOI: 10.1016/j.neucom.2014.10.043

Keywords

Inertial Cohen-Grossberg neural networks; Homeomorphism; Lyapunov functional; LMI; Inequality technique

Funding

  1. National Social Science [12 BTJ 014]
  2. Scientific Research Foundation for the Returned Overseas Chinese Scholars, Slate Education Ministry of China [20091341]

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In this paper, global exponential stability of inertial Cohen-Grossberg neural networks with time delays is investigated. By using Homeomorphism theorem and inequality technique, a LMI-based global exponential stability condition and inequality form global exponential stability condition are obtained for the above neural networks. In our result, the assumptions for the differentiability and monotonicity on the behaved functions in Ke and Miao (2013) [23] are removed. Thus our results are less conservative than those obtained in Ke and Miao (2013) [23]. Hence, we obtain new global exponential stability for this neural network. (C) 2014 Elsevier B.V. All rights reserved.

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