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Synchronization criteria for complex dynamical networks with neutral-type coupling delay

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  • Dai, Yang
  • Cai, Yunze
  • Xu, Xiaoming

Abstract

A generalized complex dynamical networks model with neutral-type coupling delay is proposed, which is an extension for the systems without time delay and with the retarded delay. By some transformation, the synchronization problem of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated neutral delay functional differential equations. Furthermore, the less conservative sufficient conditions for both delay-independent and delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities based on the free weighting matrix strategy. Numerical examples are given to illustrate the theoretical results.

Suggested Citation

  • Dai, Yang & Cai, Yunze & Xu, Xiaoming, 2008. "Synchronization criteria for complex dynamical networks with neutral-type coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4673-4682.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:18:p:4673-4682
    DOI: 10.1016/j.physa.2008.03.024
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    References listed on IDEAS

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    1. Li, Chunguang & Xu, Hongbing & Liao, Xiaofeng & Yu, Juebang, 2004. "Synchronization in small-world oscillator networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 359-364.
    2. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    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. Li, C.P. & Sun, W.G. & Kurths, J., 2006. "Synchronization of complex dynamical networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 24-34.
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    Cited by:

    1. Zhang, Xinhong & Li, Wenxue & Wang, Ke, 2015. "The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 208-217.
    2. Mingwen Zheng & Lixiang Li & Haipeng Peng & Jinghua Xiao & Yixian Yang & Yanping Zhang & Hui Zhao, 2018. "Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays," PLOS ONE, Public Library of Science, vol. 13(1), pages 1-22, January.
    3. Chen, Hao & Sun, Jitao, 2012. "Stability analysis for coupled systems with time delay on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 528-534.

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