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Nonlinear Dynamics

, Volume 92, Issue 2, pp 247–265 | Cite as

Periodically intermittent control strategies for \(\varvec{\alpha }\)-exponential stabilization of fractional-order complex-valued delayed neural networks

  • Peng Wan
  • Jigui Jian
  • Jun Mei
Original Paper
  • 235 Downloads

Abstract

This paper studies the global \(\alpha \)-exponential stabilization of a kind of fractional-order neural networks with time delay in complex-valued domain. To end this, several useful fractional-order differential inequalities are set up, which generalize and improve the existing results. Then, a suitable periodically intermittent control scheme with time delay is put forward for the global \(\alpha \)-exponential stabilization of the addressed networks, which include feedback control as a special case. Utilizing these useful fractional-order differential inequalities and combining with the Lyapunov approach and other inequality techniques, some novel delay-independent criteria in terms of real-valued algebraic inequalities are obtained to ensure global \(\alpha \)-exponential stabilization of the discussed networks, which are very simple to implement in practice and avert to calculate the complex matrix inequalities. Finally, the availability of the theoretical criteria is verified by an illustrative example with simulations.

Keywords

Fractional-order Complex-valued neural network Delay \(\alpha \)-exponential stabilization Periodically intermittent control Inequality technique 

Notes

Acknowledgements

This work is supported partially by the National Natural Science Foundation of China (11601268).

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of ScienceChina Three Gorges UniversityYichangChina
  2. 2.Department of Electrical, Electric and Computer Engineering, Centre of New Energy SystemsUniversity of PretoriaPretoriaSouth Africa

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