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Neural Computing and Applications

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14-07-2018 | Original Article

Exponential synchronization of memristor-based recurrent neural networks with multi-proportional delays

Authors: Lijuan Su, Liqun Zhou

Published in: Neural Computing and Applications | Issue 11/2019

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Abstract

This paper focuses on the exponential synchronization of memristor-based recurrent neural networks with multi-proportional delays. Act as a vital mathematical model, the system with proportional delays has been widely popular in several scientific fields, such as biology, physics systems as well as control theory. In the sense of Filippov solutions, we receive a novel sufficient condition based on the theories of set-valued maps and differential inclusions, by constructing a proper Lyapunov functional and taking advantage of inequality techniques. Here, the condition is easy to be verified by algebraic methods. A couple of numerical examples and their simulations are given to illustrate the correctness and effectiveness of the obtained results.

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Title: Exponential synchronization of memristor-based recurrent neural networks with multi-proportional delays
Authors: Lijuan Su
Liqun Zhou
Publication date: 14-07-2018
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 11/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-018-3569-z

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