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<p>In this paper, we consider a class of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-caputo fractional homogeneous systems. We start with the uniform Mittag-Leffler stability of homogeneous fractional time-varying systems. The stabilization problem of autonomous single-input, affine control system by homogenous feedback is studied. A numerical example is given to illustrate the efficiency of the obtained results.</p>

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Mittag-Leffler stability and stabilization of \(\psi \)-caputo fractional homogeneous systems

  • 期刊论文

  • 发表日期：

    2025年2月26日

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  • Faouzi Omri,
  • Fehmi Mabrouk

摘要

In this paper, we consider a class of \(\psi \) ψ -caputo fractional homogeneous systems. We start with the uniform Mittag-Leffler stability of homogeneous fractional time-varying systems. The stabilization problem of autonomous single-input, affine control system by homogenous feedback is studied. A numerical example is given to illustrate the efficiency of the obtained results.