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An extended synchronization analysis for memristor-based coupled neural networks via aperiodically intermittent control

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  • Luo, Mengzhuo
  • Cheng, Jun
  • Liu, Xinzhi
  • Zhong, Shouming

Abstract

This paper deals with the synchronization problem for a class of memristor-based coupled neural networks with mixed delays via some novel aperiodically intermittent control approaches with l different switched periods. Firstly, the control width, the non-control width and rates of control duration are different in each switched periods in this paper, hence, our intermittent control schemes are completely aperiodically case; Secondly, two different algorithms have been adopted to investigate the synchronization problem. Comparing with two different handing techniques, the main difference is focused on whether the rates of control duration are monotonic and whether the time-varying delays are derivative. Particularly, some strict assumptions between the time delay, control width and non-control width in the original references have been removed; Thirdly, by virtue of the Lyapunov stability theory and proposed control methods, several new criteria ensuring globally exponential synchronization of memristor-based coupled neural networks are obtained, and the new proposed results here are very easy to verify and also complement. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Luo, Mengzhuo & Cheng, Jun & Liu, Xinzhi & Zhong, Shouming, 2019. "An extended synchronization analysis for memristor-based coupled neural networks via aperiodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 344, pages 163-182.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:163-182
    DOI: 10.1016/j.amc.2018.10.001
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    6. Luo, Mengzhuo & Liu, Xinzhi & Zhong, Shouming & Cheng, Jun, 2018. "Synchronization of multi-stochastic-link complex networks via aperiodically intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 20-38.
    7. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
    8. Zhang, Ruimei & Zeng, Deqiang & Zhong, Shouming & Yu, Yongbin, 2017. "Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 57-74.
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    Cited by:

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    5. Cao, Yang & Udhayakumar, K. & Veerakumari, K. Pradeepa & Rakkiyappan, R., 2022. "Memory sampled data control for switched-type neural networks and its application in image secure communications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 564-587.

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