Robust stability analysis of nonlinear fractional-order time-variant systems
Summary: This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order \(\alpha\)\ \ \((1 < \alpha < 1)\) by using the Gronwall-Bellman lemma. Based on this theorem, a sufficient condition for designing a state feedback controller to stabilize such fractional-order systems is also obtained. Finally, a numerical example demonstrates the validity of this approach.
scientific article; zbMATH DE number 7016421