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Synchronization in an array of linearly coupled networks with time-varying delay

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  • Wang, Weiwei
  • Cao, Jinde

Abstract

This paper studies the dynamics of a system of linearly coupled identical connected neural networks with time-varying delay. Some sufficient conditions for synchronization of such a system are obtained based on Lyapunov functional method and matrix inequality techniques, which can be checked numerically very efficiently by using the Matlab toolbox. Finally, an example is provided to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Wang, Weiwei & Cao, Jinde, 2006. "Synchronization in an array of linearly coupled networks with time-varying delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 197-211.
    • Handle: RePEc:eee:phsmap:v:366:y:2006:i:c:p:197-211
    DOI: 10.1016/j.physa.2005.10.047
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    References listed on IDEAS

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    1. Cao, Jinde & Ho, Daniel W.C., 2005. "A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1317-1329.
    2. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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    Citations

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    Cited by:

    1. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
    2. Feng, Xiaomei & Zhang, Fengqin & Wang, Wenjuan, 2011. "Global exponential synchronization of delayed fuzzy cellular neural networks with impulsive effects," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 9-16.
    3. He, Guangming & Yang, Jingyu, 2008. "Adaptive synchronization in nonlinearly coupled dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1254-1259.
    4. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Synchronization in complex delayed dynamical networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 684-692.
    5. Yang, Yongqing & Cao, Jinde, 2007. "Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 492-502.
    6. Cao, Jinde & Wang, Zidong & Sun, Yonghui, 2007. "Synchronization in an array of linearly stochastically coupled networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 718-728.
    7. Wang, Kai & Teng, Zhidong & Jiang, Haijun, 2008. "Adaptive synchronization of neural networks with time-varying delay and distributed delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 631-642.
    8. Liu, Tao & Zhao, Jun & Hill, David J., 2009. "Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1506-1519.
    9. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Global synchronization in general complex delayed dynamical networks and its applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 729-742.
    10. Yu, Wenwu & Cao, Jinde, 2007. "Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 467-482.
    11. Yu, Wenwu & Cao, Jinde, 2007. "Synchronization control of stochastic delayed neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 252-260.
    12. Li, Ping & Cao, Jinde & Wang, Zidong, 2007. "Robust impulsive synchronization of coupled delayed neural networks with uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 261-272.

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