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Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral‐Type Coupling

Author

Listed:
  • Shi Miao
  • Li Junmin

Abstract

Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time‐varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.

Suggested Citation

  • Shi Miao & Li Junmin, 2013. "Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral‐Type Coupling," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:548375
    DOI: 10.1155/2013/548375
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    References listed on IDEAS

    as
    1. Kun Yuan & Jinde Cao & Shumin Fei, 2012. "Synchronization of Coupled Networks with Mixed Delays by Intermittent Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Kun Yuan & Jinde Cao & Shumin Fei, 2012. "Synchronization of Coupled Networks with Mixed Delays by Intermittent Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, July.
    3. Ya Zhang & Bo Song & Ju H. Park & Zheng-Guang Wu, 2012. "Global Synchronization of Neutral‐Type Stochastic Delayed Complex Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Zhiwei Gao & Dexing Kong & Chuanhou Gao, 2012. "Modeling and Control of Complex Dynamic Systems: Applied Mathematical Aspects," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. 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.
    6. Ya Zhang & Bo Song & Ju H. Park & Zheng-Guang Wu, 2012. "Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, December.
    7. Zhiwei Gao & Dexing Kong & Chuanhou Gao, 2012. "Modeling and Control of Complex Dynamic Systems: Applied Mathematical Aspects," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-5, December.
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