Robust Stability Analysis of Nonlinear Fractional-Order Time-Variant Systems

Abstract EN

This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order α (1<α<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.