Abstract
In this paper the problem of trajectory tracking is studied.Based on the Lyapunov theory, a Fractional Order PIDcontrol lawthat achieves the global asymptotic stability of the trackingerror between a fractional order recurrent neural network anda fractional order complex dynamical network is obtained. Toillustrate the analytic results we present a tracking simulationof a dynamical network with each node being just one frac-tional order Lorenz´ s dynamical system and three identicalfractional order Chens dynamical systems.
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