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Weak Projective Synchronization in Drive‐Response Dynamical Networks with Time‐Varying Delay and Parameter Mismatch

Author

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  • Jiang Xu
  • Song Zheng

Abstract

This paper investigates the problem of projective synchronization in drive‐response dynamical networks (DRDNs) with time‐varying delay and parameter mismatch via impulsive control. Owing to projective factor and parameter mismatch, complete projective synchronization cannot be achieved. Therefore, a weak projective synchronization scheme is proposed to ensure that the DRDNs are in a state of synchronization with an error level. Based on the stability analysis of the impulsive functional differential equations, a general method of the weak projective synchronization with the error level is derived in DRDNs. Numerical simulations are provided to verify the correctness and effectiveness of the proposed method and results.

Suggested Citation

  • Jiang Xu & Song Zheng, 2014. "Weak Projective Synchronization in Drive‐Response Dynamical Networks with Time‐Varying Delay and Parameter Mismatch," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:356924
    DOI: 10.1155/2014/356924
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    References listed on IDEAS

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    1. Jinde Cao & Abdulaziz Alofi & Abdullah Al-Mazrooei & Ahmed Elaiw, 2013. "Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, December.
    2. Jinde Cao & Abdulaziz Alofi & Abdullah Al-Mazrooei & Ahmed Elaiw, 2013. "Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. 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.
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