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<p>We propose an explicit homogeneous feedback control under the assumption that a control Lyapunov function exists for an affine control conformable fractional-order system and satisfies a homogeneity condition. Furthermore, we demonstrate that the existence of a homogeneous control Lyapunov function for a homogeneous affine conformable fractional-order system results in a homogeneous closed-loop system when applying the previous feedback control.</p>

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Stabilization Of Homogeneous Conformable Fractional-Order Systems

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • Fehmi Mabrouk

摘要

We propose an explicit homogeneous feedback control under the assumption that a control Lyapunov function exists for an affine control conformable fractional-order system and satisfies a homogeneity condition. Furthermore, we demonstrate that the existence of a homogeneous control Lyapunov function for a homogeneous affine conformable fractional-order system results in a homogeneous closed-loop system when applying the previous feedback control.