Finite-time boundedness and stabilization of uncertain switched neural networks with time-varying delay.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

This paper deals with the finite-time boundedness and stabilization problem for a class of switched neural networks with time-varying delay and parametric uncertainties. Based on Lyapunov-like function method and average dwell time technique, some sufficient conditions are derived to guarantee the finite-time boundedness of considered uncertain switched neural networks. Furthermore, the state feedback controller is designed to solve the finite-time stabilization problem. Moreover, the proposed sufficient conditions can be simplified into the form of linear matrix equalities for conveniently using Matlab LMI toolbox. Finally, two numerical examples are given to show the effectiveness of the main results.

Authors

  • Yuanyuan Wu
    Department of Mathematics, Southeast University, Nanjing 210096, China; College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China.
  • Jinde Cao
  • Abdulaziz Alofi
    Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
  • Abdullah Al-Mazrooei
    Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
  • Ahmed Elaiw
    Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.