Augmented zero equality approach to stability for linear systems with time-varying delay

作者：

Highlights：

• This paper proposes a new stability analysis method for time delay systems by using an augmented zero equality.

• An improved stability condition of systems is introduced by the use of Finsler’s Lemma and an augmented zero equality.

• In numerical examples, the maximum bounds of time-delay demonstrate the superiority of the proposed method.

摘要

•This paper proposes a new stability analysis method for time delay systems by using an augmented zero equality.•An improved stability condition of systems is introduced by the use of Finsler’s Lemma and an augmented zero equality.•In numerical examples, the maximum bounds of time-delay demonstrate the superiority of the proposed method.

论文关键词：Augmented zero equality,Stability problem,Time-varying delay systems,LMIs

论文评审过程：Received 29 August 2019, Revised 18 March 2020, Accepted 5 April 2020, Available online 6 May 2020, Version of Record 6 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125329