Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach

作者：

Highlights：

• The novel LMI based sufficient conditions for nominal hybrid fractional-order N-D systems are presented.

• Our results can be applied in the continuous-time fractional-order N-D systems, which are the special cases of hybrid fractional-order N-D systems. Compared with the existing results in [33], ours are less conservative.

• The LMI based sufficient conditions for robust stability and stabilization of hybrid fractional-order N-D systems with interval uncertainties are presented.

摘要

•The novel LMI based sufficient conditions for nominal hybrid fractional-order N-D systems are presented.•Our results can be applied in the continuous-time fractional-order N-D systems, which are the special cases of hybrid fractional-order N-D systems. Compared with the existing results in [33], ours are less conservative.•The LMI based sufficient conditions for robust stability and stabilization of hybrid fractional-order N-D systems with interval uncertainties are presented.

论文关键词：Hybrid multi-dimensional systems,Fractional-order systems,Interval uncertainty,Linear matrix inequality,Robust stability,Robust stabilization

论文评审过程：Received 20 September 2020, Revised 15 January 2021, Accepted 4 February 2021, Available online 22 February 2021, Version of Record 22 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126075