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

Mark R. Opmeer; Olof Staffans

doi:10.1007/s00498-026-00457-9

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

Mark R. Opmeer
, Olof Staffans

Åbo Akademy University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Number of pages	42
Journal	Mathematics of Control, Signals, and Systems
Early online date	31 Jul 2026
DOIs	https://doi.org/10.1007/s00498-026-00457-9
Publication status	Published - 31 Jul 2026

Data Availability Statement

No datasets were generated or analysed during the current study

Keywords

Differential–algebraic equation
Input/state/output system
State/signal system
Multi-valued linear operator

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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10.1007/s00498-026-00457-9Licence: CC BY

Cite this

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KW - State/signal system

KW - Multi-valued linear operator

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

Abstract

Data Availability Statement

Keywords

ASJC Scopus subject areas

Access to Document

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