Razumikhin-type stability theorems for functional fractional-order differential systems and applications

作者：

Highlights：

• The stability of functional fractional-order differential systems (FFDS) is first studied by using a Lyapunov function.

• Razumikhin-type theorems first are given correctly for uniform stability and global uniform asymptotic stability theorems for FFDS.

• The work is a major breakthrough on the stability theorems of FFDS that will be more widely used.

摘要

•The stability of functional fractional-order differential systems (FFDS) is first studied by using a Lyapunov function.•Razumikhin-type theorems first are given correctly for uniform stability and global uniform asymptotic stability theorems for FFDS.•The work is a major breakthrough on the stability theorems of FFDS that will be more widely used.

论文关键词：Functional fractional-order differential system,Uniform stability,Global uniform stability,Razumikhin-type theorem

论文评审过程：Available online 20 January 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2014.12.010