Finite-time stability analysis of fractional differential systems with variable coefficients

Fengrong Zhang; Deliang Qian; Changpin Li

doi:10.1063/1.5082566

Finite-time stability analysis of fractional differential systems with variable coefficients

Chaos. 2019 Jan;29(1):013110. doi: 10.1063/1.5082566.

Authors

Fengrong Zhang¹, Deliang Qian², Changpin Li³

Affiliations

¹ College of Science, China University of Petroleum (East China), Qingdao 266580, People's Republic of China.
² Department of Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, People's Republic of China.
³ Department of Mathematics, Shanghai University, Shanghai 200444, People's Republic of China.

PMID: 30709141
DOI: 10.1063/1.5082566

Abstract

In this paper, we study finite-time stability of fractional differential systems with variable coefficients, which includes the homogeneous and nonhomogeneous delayed cases. Based on the theories of fractional differential equations, we obtain three theorems on the finite-time stability, which give some sufficient conditions on finite-time stability, respectively, for homogeneous systems without and with time delay and for the nonhomogeneous system with time delay.

Publication types

Retracted Publication