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Stabilization of complex network with hybrid impulsive and switching control

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  • Guan, Zhi-Hong
  • Zhang, Hao

Abstract

This paper studies the asymptotic stability properties of a class of complex dynamical networks under a hybrid impulsive and switching control. By utilizing the concept of impulsive control and the stability results for impulsive systems, some new criteria for global and local stability are established for this model. Some numerical examples and simulations are included to illustrate the effectiveness of the theoretical results.

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  • Guan, Zhi-Hong & Zhang, Hao, 2008. "Stabilization of complex network with hybrid impulsive and switching control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1372-1382.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:5:p:1372-1382
    DOI: 10.1016/j.chaos.2006.10.064
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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Russo, Lucia & Altimari, Pietro & Mancusi, Erasmo & Maffettone, Pier Luca & Crescitelli, Silvestro, 2006. "Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 682-706.
    3. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    4. Zhang, Hai-Feng & Wu, Rui-Xin & Fu, Xin-Chu, 2006. "The emergence of chaos in complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 472-479.
    5. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    6. 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.
    7. Gu, Ya-Qin & Shao, Chun & Fu, Xin-Chu, 2006. "Complete synchronization and stability of star-shaped complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 480-488.
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    Cited by:

    1. Hu, Dandan & Tan, Jieqing & Shi, Kaibo & Ding, Kui, 2022. "Switching synchronization of reaction-diffusion neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Shen, Yi & Pei, Wenjiang & Wang, Kai & Li, Tao & Wang, Shaoping, 2008. "Recursive filtration method for detecting community structure in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6663-6670.
    3. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    4. Yue, Dandan & Guan, Zhi-Hong & Li, Tao & Liao, Rui-Quan & Liu, Feng & Lai, Qiang, 2017. "Event-based cluster synchronization of coupled genetic regulatory networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 649-665.

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