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Synchronization of a class of memristive neural networks with time delays via sampled-data control

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Abstract

In this paper, the synchronization issues for chaotic memristive neural networks with time delays using sampled-data feedback controller are formulated and studied. By constructing a useful Lyapunov functional and using inequality techniques, some new testable algebraic criteria are obtained for ensuring the synchronization goal. Finally, an illustrative example is exploited to demonstrate the effectiveness of the proposed sampled-data control scheme.

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References

  1. Chua LO (1971) Memristor-the missing circut element. IEEE Trans. Circuit Theory 18:507–519

    Article  Google Scholar 

  2. Strukov DB, Snider GS, Stewart DR, Williams RS (2008) The missing memristor found. Nature 453:80–83

    Article  Google Scholar 

  3. Tour JM, He T (2008) Electronics:the fourth element. Nature 453:42–43

    Article  Google Scholar 

  4. Chua LO, Kang SM (1976) Memristive devices and systems. Proc. IEEE 64:209–223

    Article  MathSciNet  Google Scholar 

  5. Snider GS (2007) Self-organized computation with unreliable, memristive nanodevices. Nanotechnology 18:1–13

    Google Scholar 

  6. Itoh M, Chua LO (2008) Memristor oscillators. Int J Bifur Chaos 18:3183–3206

    Article  MATH  MathSciNet  Google Scholar 

  7. Pershin YV, DiVentra M (2010) Experimental demonstration of associative memory with memristive neural networks. Neural Netw 23:881–886

    Article  Google Scholar 

  8. Itoh M, Chua LO (2009) Memristor cellular automata and memristor discrete-time cellular neural networks. Int J Bifur Chaos 19:3605–3656

    Article  MATH  MathSciNet  Google Scholar 

  9. Yu W (2004) Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms. Inf Sci 158:131–147

    Article  MATH  Google Scholar 

  10. Rubio J, Yu W (2007) Nonlinear system identification with recurrent neural networks and dead-zone Kalman filter algorithm. Neurocomputing 70:2460–2466

    Article  Google Scholar 

  11. Li T, Song A, Fei S, Guo Y (2009) Synchronization control of chaotic neural networks with time-varying and distributed delays. Nonlinear Anal Theory Methods Appl 71:2372–2384

    Article  MATH  MathSciNet  Google Scholar 

  12. Chen W, Lu X (2006) Delay-dependent exponential stability of neural networks with variable delay: an LMI approach. IEEE Trans Circuits Syst II Exp Briefs 53:837–842

    Article  Google Scholar 

  13. Wang Z, Shu H, Liu Y, Ho DWC, Liu X (2006) Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos Solitons Fractals 30:886–896

    Article  MATH  MathSciNet  Google Scholar 

  14. Zhang H, Liu Z, Huang G (2010) Novel delay-dependent robust stability analysis for switched neutral-type neural networks with time-varying delays via SC technique, IEEE Trans. Syst Man Cybern B Cybern 40:1480–1491

    Article  Google Scholar 

  15. Zhang H, Luo Y, Liu D (2009) Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints. IEEE Trans Neural Netw 20:1490–1503

    Article  Google Scholar 

  16. Gan Q (2013) Synchronization of competitive neural networks with different time scales and time-varying delay based on delay partitioning approach. Int J Mach Learn Cybern 4:327–337

    Article  Google Scholar 

  17. Cui B, Lou X (2009) Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control. Chaos Solitons Fract 39:288–294

    Article  MATH  MathSciNet  Google Scholar 

  18. Zhan M, Wei G, Lai C (2002) Transition from intermittency to periodicity in lag synchronization in coupled Rössler oscillators. Phys Rev E 65:36–40

    Article  Google Scholar 

  19. Molaei M, Umut O (2008) Generalized synchronization of nuclear spin generator system. Chaos Solitons Fract 37:227–232

    Article  MATH  MathSciNet  Google Scholar 

  20. Wang X, Li C (2008) A definition of partial derivative of random functions and its application to RBFNN sensitivity analysis. Neurocomputing 71:1515–1526

    Article  Google Scholar 

  21. Li X, Bohner M (2010) Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. Math Comput Model 52:643–653

    Article  MATH  MathSciNet  Google Scholar 

  22. Zhang G, Shen Y (2014) Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control. Neural Netw 55:1–10

    Article  MATH  MathSciNet  Google Scholar 

  23. Zheng C, Zhang Y, Wang Z (2014) Stability analysis of stochastic reaction-diffusion neural networks with Markovian switching and time delays in the leakage terms. Int J Mach Learn Cybern 5:3–12

    Article  MathSciNet  Google Scholar 

  24. Ali MS (2014) Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays. Int J Mach Learn Cybern 5:13–22

    Article  Google Scholar 

  25. Boyd S, Ghaoui LE, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadephia

    Book  MATH  Google Scholar 

  26. Wu A, Zeng Z (2013) Anti-synchronization control of a class of memristive recurrent neural networks. Commun Nonlinear Sci Numer Simul 18:373–385

    Article  MATH  MathSciNet  Google Scholar 

  27. Wu A, Zeng Z (2012) Synchronization control of a class of memristor-based recurrent neural networks. Inf Sci 183:106–116

    Article  MATH  MathSciNet  Google Scholar 

  28. Wen S, Zeng Z, Huang T (2012) Adaptive synchronization of memristor-based Chua’s circuits. Phys Lett A 376:2775–2780

    Article  Google Scholar 

  29. Wu A, Wen S, Zeng Z, Zhu X, Zhang J (2011) Exponential synchronization of memristor-based recurrent neural networks with time delays. Neurocomputing 74:3043–3050

    Article  Google Scholar 

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Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, 066001, China

    Huaiqin Wu, Ruoxia Li, Xiaowei Zhang & Rong Yao

  2. Department of Mathematics and statistics, Chongqing University, Chongqing, 401331, China

    Hongzhi Wei

Authors
  1. Huaiqin Wu
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  2. Ruoxia Li
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  3. Hongzhi Wei
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  4. Xiaowei Zhang
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  5. Rong Yao
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Correspondence to Hongzhi Wei.

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Wu, H., Li, R., Wei, H. et al. Synchronization of a class of memristive neural networks with time delays via sampled-data control. Int. J. Mach. Learn. & Cyber. 6, 365–373 (2015). https://doi.org/10.1007/s13042-014-0271-z

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  • DOI: https://doi.org/10.1007/s13042-014-0271-z

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