Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances
作者：
Highlights：
• Considering only a rough boundary of the singularly perturbed parameter κ is available, the bounding ellipsoid obtained this paper is independent on κ such that this ellipsoid can comprise the reachable set of this system for any admissible singularly perturbed parameters.
• A κ-dependent LKF is constructed by unequally dividing the delay into two sub-intervals to lead to more superior criteria for the reachable set estimation.
• The conditions derived are all independent on the singularly perturbed parameter κ to avoid ill-conditioned numerical trouble.
摘要
•Considering only a rough boundary of the singularly perturbed parameter κ is available, the bounding ellipsoid obtained this paper is independent on κ such that this ellipsoid can comprise the reachable set of this system for any admissible singularly perturbed parameters.•A κ-dependent LKF is constructed by unequally dividing the delay into two sub-intervals to lead to more superior criteria for the reachable set estimation.•The conditions derived are all independent on the singularly perturbed parameter κ to avoid ill-conditioned numerical trouble.
论文关键词：Singularly perturbed system,Reachable set estimation,Time-varying delay,Delay decomposition,
论文评审过程：Received 18 June 2021, Revised 1 October 2021, Accepted 20 October 2021, Available online 2 November 2021, Version of Record 2 November 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126751
