Synchronization for a class of complex-valued memristor-based competitive neural networks(CMCNNs) with different time scales

Yong Zhao; Shanshan Ren; Yong Zhao; Shanshan Ren

doi:10.3934/era.2021041

Electronic Research Archive

2021, Volume 29, Issue 5: 3323-3340. doi: 10.3934/era.2021041

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Synchronization for a class of complex-valued memristor-based competitive neural networks(CMCNNs) with different time scales

Yong Zhao ^{1
,
,},
Shanshan Ren ^{2
,}

1.
School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China
2.
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China

Received: 01 December 2020 Revised: 01 March 2021 Published: 26 May 2021
Primary: 37N25, 37N35, 92B25, 92B10; Secondary: 93D05, 93D15, 93C30, 93C10

In this paper, the synchronization problem of complex-valued memristive competitive neural networks(CMCNNs) with different time scales is investigated. Based on differential inclusions and inequality techniques, some novel sufficient conditions are derived to ensure synchronization of the drive-response systems by designing a proper controller. Finally, a numerical example is provided to illustrate the usefulness and feasibility of our results.
- Memristor,
- complex-valued memristive competitive neural networks,
- Lyapunov functional,
- synchronization,
- different time scales
Citation: Yong Zhao, Shanshan Ren. Synchronization for a class of complex-valued memristor-based competitive neural networks(CMCNNs) with different time scales[J]. Electronic Research Archive, 2021, 29(5): 3323-3340. doi: 10.3934/era.2021041

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Abstract

In this paper, the synchronization problem of complex-valued memristive competitive neural networks(CMCNNs) with different time scales is investigated. Based on differential inclusions and inequality techniques, some novel sufficient conditions are derived to ensure synchronization of the drive-response systems by designing a proper controller. Finally, a numerical example is provided to illustrate the usefulness and feasibility of our results.

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