文献类型：期刊文献

英文题名：Finite-Time Stability for Caputo Nabla Fractional-Order Switched Linear Systems

作者：Xu, Peng Long, Fei Wang, Qixiang Tian, Ji Yang, Xiaowu Mo, Lipo

第一作者：许沛;Xu, Peng

通信作者：Long, F[1]|[144401cdcd7b1b0915448]龙飞;

机构：[1]Guizhou Univ, Sch Elect Engn, Guiyang 550025, Peoples R China;[2]Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Special Key Lab Artificial Intelligence & Intelli, Guiyang 550003, Peoples R China;[3]Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China

第一机构：Guizhou Univ, Sch Elect Engn, Guiyang 550025, Peoples R China

通信机构：corresponding author), Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Special Key Lab Artificial Intelligence & Intelli, Guiyang 550003, Peoples R China.|贵州理工学院;

年份：2022

卷号：6

期号：11

外文期刊名：FRACTAL AND FRACTIONAL

收录：;Scopus(收录号：2-s2.0-85141809575);WOS:【SCI-EXPANDED(收录号:WOS:000881300000001)】；

基金：This research was funded by [National Natural Science Foundation of China] grant number [61813006, 61973329], and funded by [the Key Projects of Basic Research Program of Guizhou Province] grant number [20191416], and [the Innovation Team of Universities in Guizhou Province] grant number [2022033].

语种：英文

外文关键词：finite-time stability; Caputo nabla fractional-order switched linear systems; discrete unit step function; discrete Mittag-Leffler function

摘要：In this paper, we address the finite-time stability problem of Caputo nabla fractional-order switched linear systems with alpha is an element of (0,1). Firstly, the monotonicity of the discrete Mittag-Leffler function is proposed. Secondly, under the per-designed switching rules, the form of the solution for Caputo nabla fractional-order switched linear systems is obtained by using the discrete unit step function. On the above basis, some sufficient conditions of finite-time stability for Caputo nabla fractional-order switched linear systems are proposed, according to the discrete Gronwall inequality and the monotonicity of the discrete Mittag-Leffler function. Finally, simulation verification is carried out via three numerical examples.