4.5 Article

Design of exponential state estimator for neural networks with distributed delays

Journal

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 10, Issue 2, Pages 1229-1242

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2007.10.017

Keywords

State estimator; Recurrent neural networks; Exponential stability; Distributed delay; Linear matrix inequality

Funding

  1. National Natural Science Foundation [60574006]

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In this letter, the delay-dependent state estimation problem for recurrent neural networks with both time-varying and distributed time-varying delays is investigated. Through available output measurements, a delay-dependent criterion is established to estimate the neuron states such that the dynamics of the estimation error is globally exponentially stable. The derivative of a time-varying delay can take any value and the activation functions are assumed to be neither monotonic, nor differentiable, which are more general than the recently commonly used Lipschitz conditions. Finally, two illustrative examples are given to demonstrate the usefulness of the obtained condition. (C) 2007 Elsevier Ltd. All rights reserved.

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