Input-Output Finite-Time Stability of Fractional-Order Switched Singular Systems with D -Perturbation

Fractal and Fractional

article

Qiang Yu¹  Na Xue¹ 

[1] School of Mathematics and Computer Science, Shanxi Normal University

关键词: fractional-order switched singular systems;    input-output finite-time stability;    linear matrix inequalities;    Φ-dependent average dwell time;   

DOI  :  10.3390/fractalfract7040341

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY