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<p>We consider a&#xa0;control system described by an ordinary differential equation and an ordinary differential inclusion including a hysteresis operator of generalized play type and a time delay in the perturbation terms.The equation and inclusion of the system are both controlled, but with controls of different types.The control in the inclusion is subject to a convex-valued upper semicontinuous control constraint, while the control in the equation, to a nonconvex-valued lower semicontinuous constraint. We prove the existence of a solution to the system.</p>

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Doubly Controlled System with Hysteresis and Delay

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • C. Bin,
  • S. A. Timoshin

摘要

We consider a control system described by an ordinary differential equation and an ordinary differential inclusion including a hysteresis operator of generalized play type and a time delay in the perturbation terms.The equation and inclusion of the system are both controlled, but with controls of different types.The control in the inclusion is subject to a convex-valued upper semicontinuous control constraint, while the control in the equation, to a nonconvex-valued lower semicontinuous constraint. We prove the existence of a solution to the system.