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Synchronization criteria of Lur’e systems with time-delay feedback control

Author

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  • Cao, Jinde
  • Li, H.X.
  • Ho, Daniel W.C.

Abstract

In this paper time-delay effects on the master–slave synchronization scheme are studied by a time-delay feedback control technique. Several new delay-independent and delay-dependent sufficient conditions are presented for master–slave synchronization of Lur’e systems based upon Lyapunov method and linear matrix inequalities (LMI’s) approaches. These new synchronization criteria are easily verifiable and offer some fairly adjustable real parameters, which are of important significance in the design and applications of such chaos synchronization systems, and the proposed results improve and generalize the earlier works.

Suggested Citation

  • Cao, Jinde & Li, H.X. & Ho, Daniel W.C., 2005. "Synchronization criteria of Lur’e systems with time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1285-1298.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1285-1298
    DOI: 10.1016/j.chaos.2004.06.025
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    Cited by:

    1. Sheng, Li & Yang, Huizhong & Lou, Xuyang, 2009. "Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 930-939.
    2. Wang, Jiang & Zhang, Ting & Che, Yanqiu, 2007. "Chaos control and synchronization of two neurons exposed to ELF external electric field," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 839-850.
    3. Kuetche Mbe, E.S. & Fotsin, H.B. & Kengne, J. & Woafo, P., 2014. "Parameters estimation based adaptive Generalized Projective Synchronization (GPS) of chaotic Chua’s circuit with application to chaos communication by parametric modulation," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 27-37.
    4. Cheng, Chun-Kai & Kuo, Hang-Hong & Hou, Yi-You & Hwang, Chi-Chuan & Liao, Teh-Lu, 2008. "Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3093-3102.
    5. Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    6. Zheng, Juanhui & Cui, Baotong, 2018. "State estimation of chaotic Lurie system with logarithmic quantization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 141-148.
    7. Giresse, Tene Alain & Crépin, Kofane Timoleon, 2017. "Chaos generalized synchronization of coupled Mathieu-Van der Pol and coupled Duffing-Van der Pol systems using fractional order-derivative," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 88-100.
    8. Yang, Te & Wang, Zhen & Huang, Xia & Xia, Jianwei, 2022. "Sampled-data exponential synchronization of Markovian jump chaotic Lur'e systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    9. Song, Qiankun & Cao, Jinde, 2007. "Synchronization and anti-synchronization for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 929-939.
    10. He, Guangming & Yang, Jingyu, 2008. "Adaptive synchronization in nonlinearly coupled dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1254-1259.
    11. D. H. Ji & Ju H. Park & S. M. Lee & J. H. Koo & S. C. Won, 2010. "Synchronization Criterion for Lur’e Systems via Delayed PD Controller," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 298-317, November.

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