Abstract

PEREZ P., Joel; PEREZ, Jose P.; MENDEZ-BARRIOS, Cesar-Fernando  and  GONZALEZ-GALVAN, Emilio J.. Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network via Fractional Order PiD Control Law. Comp. y Sist. [online]. 2020, vol.24, n.1, pp.349-357.  Epub Sep 27, 2021. ISSN 2007-9737.  https://doi.org/10.13053/cys-24-1-2836.

In this paper the problem of trajectory tracking is studied. Based on the Lyapunov theory, a Fractional Order PID control law that achieves the global asymptotic stability of the tracking error between a fractional order recurrent neural network and a fractional order 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 fractional order Lorenz's dynamical system and three identical fractional order Chen's dynamical systems.

Keywords : Fractional complex dynamical systems; trajectory tracking; fractional Lyapunov theory; fractional order PID control law.

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