Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network

Joel Perez P.


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.


Fractional complex dynamical systems, trajectory tracking, Lyapunov theory, control law.

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