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Anti-synchronization Control of Memristive Neural Networks with Multiple Proportional Delays

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Abstract

This paper investigates anti-synchronization control of memristive neural networks with multiple proportional delays. Here, we first study the proportional delay, which is a kind of unbounded time-varying delay in the memristive neural networks, by using the differential inclusion theory to handle the memristive neural networks with discontinuous right-hand side. In particular, several new criteria ensuring anti-synchronization of memristive neural networks with multiple proportional delays are presented. In addition, the new proposed criteria are easy to verify and less conservative than earlier publications about anti-synchronization control of memristive neural networks. Finally, two numerical examples are given to show the effectiveness of our results.

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Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Grant Nos. 61170269, 61472045), the Beijing Higher Education Young Elite Teacher Project (Grant No. YETP0449), the Asia Foresight Program under NSFC Grant (Grant No. 61411146001) and the Beijing Natural Science Foundation (Grant No. 4142016).

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Weiping Wang & Jinghua Xiao

  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Lixiang Li, Haipeng Peng & Yixian Yang

  3. Potsdam Institute for Climate Impact Research, 14473, Potsdam, Germany

    Jürgen Kurths

  4. National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Yixian Yang

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  1. Weiping Wang
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  2. Lixiang Li
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  3. Haipeng Peng
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  4. Jürgen Kurths
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  5. Jinghua Xiao
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  6. Yixian Yang
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Correspondence to Lixiang Li.

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Wang, W., Li, L., Peng, H. et al. Anti-synchronization Control of Memristive Neural Networks with Multiple Proportional Delays. Neural Process Lett 43, 269–283 (2016). https://doi.org/10.1007/s11063-015-9417-6

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  • DOI: https://doi.org/10.1007/s11063-015-9417-6

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