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Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks

Author

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  • Jinde Cao
  • Abdulaziz Alofi
  • Abdullah Al-Mazrooei
  • Ahmed Elaiw

Abstract

This paper investigates synchronization problem of switched delay networks with interval parameters uncertainty, based on the theories of the switched systems and drive‐response technique, a mathematical model of the switched interval drive‐response error system is established. Without constructing Lyapunov‐Krasovskii functions, introducing matrix measure method for the first time to switched time‐varying delay networks, combining Halanay inequality technique, synchronization criteria are derived for switched interval networks under the arbitrary switching rule, which are easy to verify in practice. Moreover, as an application, the proposed scheme is then applied to chaotic neural networks. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:940573
    DOI: 10.1155/2013/940573
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    References listed on IDEAS

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    1. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
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    Cited by:

    1. 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).
    2. Xiaobing Nie & Jinde Cao & Shumin Fei, 2014. "Multistability and Instability of Competitive Neural Networks with Mexican‐Hat‐Type Activation Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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