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Neural Processing Letters

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22-07-2020

Fixed-Time Synchronization of Complex-Valued Memristor-Based Neural Networks with Impulsive Effects

Authors: Yanlin Zhang, Shengfu Deng

Published in: Neural Processing Letters | Issue 2/2020

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Abstract

In this paper, the fixed-time synchronization of complex-valued memristor-based neural networks with impulsive effects is investigated. We first separate these complex-valued networks into real and imaginary parts, and design the appropriate controllers. Then apply the set-valued map and the differential inclusion theorem to handle the discontinuity problems at the right-hand side of the drive-response systems. By constructing the comparison systems together with the Lyapunov function, we get the fixed-time synchronization conditions. Moreover, the estimate of the settling time is also explicitly obtained. Finally, two examples and their numerical simulations are presented to show the effectiveness of the obtained theoretical results.

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Title: Fixed-Time Synchronization of Complex-Valued Memristor-Based Neural Networks with Impulsive Effects
Authors: Yanlin Zhang
Shengfu Deng
Publication date: 22-07-2020
Publisher: Springer US
Published in: Neural Processing Letters / Issue 2/2020
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-020-10304-w

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