Nyquist-based stability analysis of non-commensurate fractional-order delay systems

作者：

Highlights：

• A Nyquist-based method is used in non-commensurate fractional-order delay systems.

• Some stability results are proposed for different cases of system parameters.

• Nyquist-based instability results are given for different cases of system parameters.

• The delay upper bound to ensure the stability of the studied system is given.

摘要

•A Nyquist-based method is used in non-commensurate fractional-order delay systems.•Some stability results are proposed for different cases of system parameters.•Nyquist-based instability results are given for different cases of system parameters.•The delay upper bound to ensure the stability of the studied system is given.

论文关键词：Fractional calculus,Stability analysis,Non-commensurate,Time delay,Nyquist theorem

论文评审过程：Received 4 August 2019, Revised 31 January 2020, Accepted 2 February 2020, Available online 2 March 2020, Version of Record 2 March 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125111