Hierarchical stability conditions of systems with time-varying delay

作者：

Highlights：

• This paper studies the stability problem of time-varying delay systems.

• New stability criterion is derived based on a delay-product Lyapunov-Krasovskii functional.

• A hierarchical negativity condition of quadratic polynomials is presented.

• The derived stability criterion is expressed in terms of LMIs by using the presented negativity condition.

• Two examples are solved so as to demonstrate the effectiveness of the proposed approach.

摘要

•This paper studies the stability problem of time-varying delay systems.•New stability criterion is derived based on a delay-product Lyapunov-Krasovskii functional.•A hierarchical negativity condition of quadratic polynomials is presented.•The derived stability criterion is expressed in terms of LMIs by using the presented negativity condition.•Two examples are solved so as to demonstrate the effectiveness of the proposed approach.

论文关键词：Stability,Time-varying delay,Linear matrix inequalities,Lyapunov-Krasovskii functional

论文评审过程：Received 22 November 2020, Revised 7 February 2021, Accepted 20 March 2021, Available online 5 April 2021, Version of Record 5 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126222