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Nonlinear Dynamics

, Volume 83, Issue 4, pp 2143–2155 | Cite as

Anti-synchronization of coupled memristive neutral-type neural networks with mixed time-varying delays via randomly occurring control

  • Weiping Wang
  • Lixiang LiEmail author
  • Haipeng Peng
  • Weinan Wang
  • Jürgen Kurths
  • Jinghua Xiao
  • Yixian Yang
Original Paper

Abstract

In this paper, a class of coupled memristive neural networks of neutral type with mixed time-varying delays via randomly occurring control is studied in order to achieve anti-synchronization. The model of the coupled memristive neural networks of neutral type with mixed time-varying delays is less conservative than those of traditional memristive neural networks. Some criteria are obtained to guarantee the anti-synchronization between the drive system and the response system. Two kinds of randomly occurring memristor-based controllers are designed. The analysis in this paper employs the differential inclusions theory, linear matrix inequalities, and the Lyapunov functional method. In addition, the new proposed results here are very easy to verify and also extend the results of earlier publications. Numerical examples are given to show the effectiveness of our results.

Keywords

Memristive neural networks Neutral-type Mixed delays Randomly occurring control 

Notes

Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Grant Nos. 61170269, 61573067, 61472045, 61174103), the Beijing Higher Education Young Elite Teacher Project (Grant No. YETP0449), the National Key Technologies R&D Program of China under Grant 2015BAK38B01, the Aerospace Science Foundation of China under Grant 2014ZA74001, the Fundamental Research Funds for the Central Universities, the Asia Foresight Program under NSFC Grant (Grant No. 61411146001), and the Beijing Natural Science Foundation (Grant No. 4142016)

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Weiping Wang
    • 1
  • Lixiang Li
    • 2
    Email author
  • Haipeng Peng
    • 2
  • Weinan Wang
    • 3
  • Jürgen Kurths
    • 4
  • Jinghua Xiao
    • 6
  • Yixian Yang
    • 2
    • 5
  1. 1.School of Computer and Communication EngineeringUniversity of Science and Technology Beijing (USTB)BeijingChina
  2. 2.Information Security Center, State Key Laboratory of Networking and Switching TechnologyBeijing University of Posts and TelecommunicationsBeijingChina
  3. 3.School of Mechanical EngineeringNorth China University of Water Resources and Electric PowerZhengzhouChina
  4. 4.Potsdam Institute for Climate Impact ResearchPotsdamGermany
  5. 5.National Engineering Laboratory for Disaster Backup and RecoveryBeijing University of Posts and TelecommunicationsBeijingChina
  6. 6.School of ScienceBeijing University of Posts and TelecommunicationsBeijingChina

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