Adaptive Observer Design for the Fractional-Order Hindmarsh-Rose Neuron

Resumen: In this work it is presented an adaptive observer design methodology for the Fractional-Order Hindmarsh-Rose Neuron Model. Using an analysis based on quadratic Lyapunov functions and an extension of Barbalat's theorem to the fractional-order case, the asymptotic convergence of the observed states to the real ones is proven, as well as the boundedness of the parameter reconstruction. Numeric examples are presented to show the effectiveness of the proposed design.

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Marcos A. Gonzalez Olvera, Anahi Flores-Perez & Lizeth Torres. Adaptive Observer Design for the Fractional-Order Hindmarsh-Rose Neuron. Memorias del Congreso Nacional de Control Automático, pp. 412-417, 2021.

Palabras clave

Adaptive Observer, Parametric Identification, Hindmarsh-Rose neuron model, fractional-order system

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