4.5 Article

Global lagrange stability of complex-valued neural networks of neutral type with time-varying delays

Journal

COMPLEXITY
Volume 21, Issue S2, Pages 438-450

Publisher

WILEY-HINDAWI
DOI: 10.1002/cplx.21823

Keywords

complex-valued neural network; neutral; Lagrange exponential stability; linear matrix inequality

Funding

  1. National Natural Science Foundation of China [61573096, 11601047, 61272530]
  2. Natural Science Foundation of Jiangsu Province of China [BK2012741]
  3. 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]
  4. Scientific and Technological Research Program of Chongqing Municipal Education Commission [KJ1401013, KJ1501002]

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In this article, the problem of global exponential stability in Lagrange sense of neutral type complex-valued neural networks (CVNNs) with delays is investigated. Two different classes of activation functions are considered, one can be separated into real part and imaginary part, and the other cannot be separated. Based on Lyapunov theory and analytic techniques, delay-dependent criteria are provided to ascertain the aforementioned CVNNs to be globally exponentially stable GES in Lagrange sense. Moreover, the proposed sufficient conditions are presented in the form of linear matrix inequalities which could be easily checked by Matlab. Finally, two simulation examples are given out to demonstrate the validity of theory results. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 438-450, 2016

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