Stabilization of switched time-delay systems with only unstable subsystems: a new approach based on a vibration model of 1.5 degrees of freedom
作者：
Highlights：
• The time-delay term is approximated by the third-order Taylor expansion.
• A special vibration model of 1.5 degrees of freedom is introduced to match the approximated third-order linear subsystem.
• The obtained energy function of each delayed subsystem has actual physical significance and weak conservativeness.
• A state-dependent switching rule with respect to both the current and delayed states is proposed.
• A delay-independent unstable system can be stabilized by switching between two chosen delay values.
摘要
•The time-delay term is approximated by the third-order Taylor expansion.•A special vibration model of 1.5 degrees of freedom is introduced to match the approximated third-order linear subsystem.•The obtained energy function of each delayed subsystem has actual physical significance and weak conservativeness.•A state-dependent switching rule with respect to both the current and delayed states is proposed.•A delay-independent unstable system can be stabilized by switching between two chosen delay values.
论文关键词：State-dependent switching rule,Switched time-delay system,Third-order Taylor approximation,Vibration model of 1.5 degrees of freedom,Asymptotic stability
论文评审过程：Received 30 July 2021, Revised 25 September 2021, Accepted 9 October 2021, Available online 25 October 2021, Version of Record 25 October 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126740
