The stability of fractional-order linear systems is a fundamental topic in control theory, given their ability to model complex dynamical behaviors more accurately than integer-order systems. Fractional-order systems are characterized by differential equations with non-integer derivatives, which provide a more flexible framework to describe processes such as viscoelasticity, diffusion, and memory effects in various physical and engineering applications.

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Stability  Analysis of Fractional-Order Systems

  • Saliha Marir,
  • Mohammed Chadli

摘要

The stability of fractional-order linear systems is a fundamental topic in control theory, given their ability to model complex dynamical behaviors more accurately than integer-order systems. Fractional-order systems are characterized by differential equations with non-integer derivatives, which provide a more flexible framework to describe processes such as viscoelasticity, diffusion, and memory effects in various physical and engineering applications.