Master-Slave Synchronization for Trajectory Tracking Error Using Fractional Order Time-Delay Recurrent Neural Networks via Krasovskii-Lur’e Functional for Chua’s Circuit

Authors

  • J. Javier Perez D. Universidad Autónoma de Nuevo León, Facultad de Ingeniería Mecánica y Eléctrica
  • José Paz Pérez Padron Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas
  • Atilano Martínez Huerta Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas
  • Joel Pérez Padron Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas

DOI:

https://doi.org/10.13053/cys-25-3-2941

Keywords:

Trajectory tracking, fractional order time-Delay recurrent neural network, fractional order Lyapunov-Krasovskii and lur’e analysis

Abstract

This paper presents an application of a Fractional Order Time Delay Neural Networks to chaos synchronization. The two main methodologies, on which the approach is based, are fractional order time-delay recurrent neural networks and the fractional order  inverse optimal control for nonlinear systems. The problem of trajectory tracking is studied, based on the fractional order Lyapunov-Krasovskii and Lur’e theory, that achieves the global asymptotic stability of the tracking error between a delayed recurrent neural network and a reference function is obtained. The method is illustrated for the synchronization, the analytic results we present a trajectory tracking simulation of a fractional order time-delay dynamical network and the Fractional Order Chua’s circuits.

Author Biographies

J. Javier Perez D., Universidad Autónoma de Nuevo León, Facultad de Ingeniería Mecánica y Eléctrica

Profesor de tiempo completo en la Facultad de Ciencias Físico-Matemáticas de la Universidad Autonóma de Nuevo León

José Paz Pérez Padron, Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas

Departamento de Sistemas Dinámicos

Atilano Martínez Huerta, Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas

Departamento de Sistemas Dinámicos

Joel Pérez Padron, Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisicomatemáticas

Departamento de Sistemas Dinámicos

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Published

2021-08-18

Issue

Vol. 25 No. 3 (2021): 25(3) 2021

Section

Articles

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