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Global Exponential Stability of the Periodic Solution of a Discrete-Time Complex-Valued Hopfield Neural Network with Delays and Impulses

Authors:
Valery Covachev
Zlatinka Covacheva

Keywords: neural networks; periodic solution; stability.

Abstract:
The global stability of the periodic solution of a discrete-time complex-valued Hopfield neural network is studied. By introducing an appropriate Lyapunov functional it is proved that any two solutions of the system exponentially approach each other with time.

Pages: 1 to 6

Copyright: Copyright (c) IARIA, 2018

Publication date: July 22, 2018

Published in: conference

ISSN: 2308-3484

ISBN: 978-1-61208-655-2

Location: Barcelona, Spain

Dates: from July 22, 2018 to July 26, 2018