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<p>We consider linear time-invariant differential–algebraic equations in both finite and infinite dimensions. Utilizing the theory of state/signals systems, we identify which variables are states, which variables are inputs and which variables are outputs and describe the dynamics though a standard input/state/output system.</p>

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Writing differential algebraic equations as input/state/output systems: a state/signal perspective

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月31日

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  • Mark R. Opmeer,
  • Olof J. Staffans

摘要

We consider linear time-invariant differential–algebraic equations in both finite and infinite dimensions. Utilizing the theory of state/signals systems, we identify which variables are states, which variables are inputs and which variables are outputs and describe the dynamics though a standard input/state/output system.