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This paper investigates numerical approximations and qualitative properties switching systems with jumps. Runge–Kutta methods of order p are used to approximate the solutions of differential equations with fixed time delay and possibly discontinuous solutions. After every jump time the right-hand side is changed. It is proved that the accuracy of these methods is \(O(h^p)\) . Illustrative examples are then provided.

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Numerical Solution of Switched Systems with Delay

  • 会议论文

  • 发表日期：

    2025年

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  • Tzanko Donchev,
  • Boyana Garkova,
  • Sevasti Georgiadou,
  • Nikolay Kitanov,
  • Alina I. Lazu

摘要

This paper investigates numerical approximations and qualitative properties switching systems with jumps. Runge–Kutta methods of order p are used to approximate the solutions of differential equations with fixed time delay and possibly discontinuous solutions. After every jump time the right-hand side is changed. It is proved that the accuracy of these methods is \(O(h^p)\) . Illustrative examples are then provided.