Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation

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In this paper, we present the dynamics of the simple pendulum by using the fractional-order derivatives. Equations of motion are proposed for cases without input and external forcing. We use the fractional-order Euler-Lagrange equations to obtain the fractional-order dynamic equation of the simple pendulum. We perform equilibria analysis, indicate the conditions where stability dynamics can be observed for both integer and fractional-order models. Finally, phase diagrams have been plotted to visualize the effect of the fractional-order derivatives.
Original languageEnglish (US)
Title of host publication2019 18th European Control Conference (ECC)
Number of pages7
ISBN (Print)9783907144008
StatePublished - Aug 15 2019

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