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Complex Dynamical Network Control for Trajectory Tracking Using Delayed Recurrent Neural Networks

Author

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  • Jose P. Perez
  • Joel Perez Padron
  • Angel Flores Hemandez
  • Santiago Arroyo

Abstract

In this paper, the problem of trajectory tracking is studied. Based on the V-stability and Lyapunov theory, a control law that achieves the global asymptotic stability of the tracking error between a delayed recurrent neural network and a complex dynamical network is obtained. To illustrate the analytic results, we present a tracking simulation of a dynamical network with each node being just one Lorenz’s dynamical system and three identical Chen’s dynamical systems.

Suggested Citation

  • Jose P. Perez & Joel Perez Padron & Angel Flores Hemandez & Santiago Arroyo, 2014. "Complex Dynamical Network Control for Trajectory Tracking Using Delayed Recurrent Neural Networks," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, January.
  • Handle: RePEc:hin:jnlmpe:162610
    DOI: 10.1155/2014/162610
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