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Generalized Projective Synchronization between Two Different Neural Networks with Mixed Time Delays

Author

Listed:
  • Xuefei Wu
  • Chen Xu
  • Jianwen Feng
  • Yi Zhao
  • Xuan Zhou

Abstract

The generalized projective synchronization (GPS) between two different neural networks with nonlinear coupling and mixed time delays is considered. Several kinds of nonlinear feedback controllers are designed to achieve GPS between two different such neural networks. Some results for GPS of these neural networks are proved theoretically by using the Lyapunov stability theory and the LaSalle invariance principle. Moreover, by comparison, we determine an optimal nonlinear controller from several ones and provide an adaptive update law for it. Computer simulations are provided to show the effectiveness and feasibility of the proposed methods.

Suggested Citation

  • Xuefei Wu & Chen Xu & Jianwen Feng & Yi Zhao & Xuan Zhou, 2012. "Generalized Projective Synchronization between Two Different Neural Networks with Mixed Time Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-19, May.
    • Handle: RePEc:hin:jnddns:153542
    DOI: 10.1155/2012/153542
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    Cited by:

    1. Li, Wang & Zhao, Lingzhi & Shi, Hongjun & Zhao, Donghua & Sun, Yongzheng, 2021. "Realizing generalized outer synchronization of complex dynamical networks with stochastically adaptive coupling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 379-390.
    2. Sun, Yanqin & Wu, Huaiyu & Chen, Zhihuan & Zheng, Xiujuan & Chen, Yang, 2021. "Outer synchronization of two different multi-links complex networks by chattering-free control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Barajas-Ramírez, Juan Gonzalo & Ruiz-Silva, Adriana & Anzo-Hernández, Andrés, 2021. "Pinning generalized synchronization of dynamical networks via coordinate transformations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1164-1175.

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