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Abstract <p> An approach is proposed to construct a digital controller stabilizing a continuous-timeswitched linear interval system with commensurate delays in control under slow switchings. Thestabilization approach consistently includes the construction of a switchedcontinuous-time–discrete-time closed-loop system with a digital controller, the transition to itsdiscrete-time model represented as a switched discrete-time linear interval system with modes ofvarious orders, simultaneous stabilization of the subsystems of the resulting discrete-time model,and the calculation of the delay time ensuring the stability of the original switched system closedby the controller found.</p>

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Stabilization of a Switched Interval System with Commensurate Delays under Slow Switchings

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. V. Il’in,
  • A. S. Fursov,
  • Yu. M. Mosolova

摘要

Abstract

An approach is proposed to construct a digital controller stabilizing a continuous-timeswitched linear interval system with commensurate delays in control under slow switchings. Thestabilization approach consistently includes the construction of a switchedcontinuous-time–discrete-time closed-loop system with a digital controller, the transition to itsdiscrete-time model represented as a switched discrete-time linear interval system with modes ofvarious orders, simultaneous stabilization of the subsystems of the resulting discrete-time model,and the calculation of the delay time ensuring the stability of the original switched system closedby the controller found.