Input-Output Finite-Time Stability of Fractional-Order Switched Singular Systems with <i>D</i>-Perturbation

Abstract

The objective of this paper focuses on the stability analysis of the input-output finite-time for a class of fractional-order switched singular systems (FOSSS) with D-perturbation. By using the Φ-dependent average dwell time (ΦDADT) approach together with the multiple Lyapunov functions method, some sufficient conditions are derived for the considered system to ensure its input-output finite-time stability in terms of linear matrix inequalities. Then, the output feedback controller is designed to ensure the closed-loop system is input-output finite-time stable. Finally, a numerical example illustrates the superiority of the proposed method.

Keywords

• fractional-order switched singular systems
• input-output finite-time stability
• linear matrix inequalities
• Φ-dependent average dwell time