Lag synchronization for fractional-order memristive neural networks with time delay via switching jumps mismatch

This paper studies drive-response synchronization in fractional-order memristive neural networks (FMNNs) with switching jumps mismatch. A comparison theorem for fractional-order systems with variable order is provided first. Theories of fractional order Filippov differential inclusions are used to t...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 355; no. 3; pp. 1217 - 1240
Main Authors Zhang, Lingzhong, Yang, Yongqing, wang, Fei, sui, Xin
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.02.2018
Elsevier Science Ltd
Subjects
Feedback control
Network switching
Neural networks
Response time
Switching theory
Synchronism
Theorems
Time lag
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Summary:This paper studies drive-response synchronization in fractional-order memristive neural networks (FMNNs) with switching jumps mismatch. A comparison theorem for fractional-order systems with variable order is provided first. Theories of fractional order Filippov differential inclusions are used to treat FMNNs because the parameters of FMNNs are state dependent and the FMNNs has discontinuous right hand sides. Based on Laplace transform and linear feedback control, some lag quasi-synchronization conditions are obtained with variable order α: 0 < α < 1 and 1 < α < 2. The error level is estimated and the larger synchronization regain is discussed. Finally, two numerical examples are presented to illustrate the effectiveness of our proposed theorems.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2017.12.017