Synchronization of neural networks based on parameter identification and via output or state coupling

  • Authors:
  • Xuyang Lou;Baotong Cui

  • Affiliations:
  • College of Communication and Control Engineering, Jiangnan University 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China and CSIRO Division of Mathematical and Information Sciences, University of Adel ...;College of Communication and Control Engineering, Jiangnan University 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

For neural networks with all the parameters unknown, we focus on the global robust synchronization between two coupled neural networks with time-varying delay that are linearly and unidirectionally coupled. First, we use Lyapunov functionals to establish general theoretical conditions for designing the coupling matrix. Neither symmetry nor negative (positive) definiteness of the coupling matrix are required; under less restrictive conditions, the two coupled chaotic neural networks can achieve global robust synchronization regardless of their initial states. Second, by employing the invariance principle of functional differential equations, a simple, analytical, and rigorous adaptive feedback scheme is proposed for the robust synchronization of almost all kinds of coupled neural networks with time-varying delay based on the parameter identification of uncertain delayed neural networks. Finally, numerical simulations validate the effectiveness and feasibility of the proposed technique.