Finite-time stability analysis of fractional singular time-delay systems

Advances in Difference Equations

Wei Jiang¹  Denghao Pang¹ 

[1] School of Mathematical Sciences, Anhui University, Hefei, China

关键词: finite-time stability;    singular systems;    time delay;    fractional calculus;    Mittag-Leffler estimation;    generalized Gronwall inequality;   

DOI  :  10.1186/1687-1847-2014-259

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper studies the finite-time stability of fractional singular time-delay systems. First, by the method of the steps, we discuss the existence and uniqueness of the solutions for the equivalent systems to the fractional singular time-delay systems. Furthermore, we give the Mittag-Leffler estimation of the solutions for the equivalent systems and obtain the sufficient conditions of the finite-time stability for the original systems. MSC:34K20.

【 授权许可】

CC BY