Abstract

PEREZ D., J. Javier; PEREZ PADRON, José Paz; MARTINEZ HUERTA, Atilano  and  PEREZ PADRON, Joel. Master-Slave Synchronization for Trajectory Tracking Error Using Fractional Order Time-Delay Recurrent Neural Networks via Krasovskii-Lur’e Functional for Chua’s Circuit. Comp. y Sist. [online]. 2021, vol.25, n.3, pp.537-544.  Epub Dec 13, 2021. ISSN 2007-9737.  https://doi.org/10.13053/cys-25-3-2941.

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

Keywords : Trajectory tracking; fractional order time-delay recurrent neural network; fractional order Lyapunov-Krasovskii and Lur’e analysis.

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