4.7 Article

Finite time stabilization of delayed neural networks

Journal

NEURAL NETWORKS
Volume 70, Issue -, Pages 74-80

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2015.07.008

Keywords

Finite time stabilization; Delayed neural networks; Delay-dependent controller; Delay-independent controller; Switched controller; Settling time

Funding

  1. Key Program of National Natural Science Foundation of China [61134012]
  2. National Science Foundation of China [11271146, 61374150]
  3. prior developing Field for the Doctoral Program of Higher Education of China [20130142130012]

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In this paper, the problem of finite time stabilization for a class of delayed neural networks (DNNs) is investigated. The general conditions on the feedback control law are provided to ensure the finite time stabilization of DNNs. Then some specific conditions are derived by designing two different controllers which include the delay-dependent and delay-independent ones. In addition, the upper bound of the settling time for stabilization is estimated. Under fixed control strength, discussions of the extremum of settling time functional are made and a switched controller is designed to optimize the settling time. Finally, numerical simulations are carried out to demonstrate the effectiveness of the obtained results. (C) 2015 Elsevier Ltd. All rights reserved.

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