Abstract

PEREZ P., Joel. Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network. Comp. y Sist. [online]. 2016, vol.20, n.2, pp.219-225. ISSN 2007-9737.  https://doi.org/10.13053/cys-20-2-2201.

In this paper the problem of trajectory tracking is studied. Based on Lyapunov theory, a control law that achieves global asymptotic stability of the tracking error between a fractional recurrent neural network and the state of each single node of the fractional complex dynamical network is obtained. To illustrate the analytic results we present a tracking simulation of a simple network with four different nodes and five non-uniform links.

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

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