Linear port-Hamiltonian DAE systems revisited
| Autor: | Arjan van der Schaft, Volker Mehrmann |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
History
Polymers and Plastics General Computer Science Lagrange structure Mechanical Engineering Numerical Analysis (math.NA) Port-Hamiltonian system Dirac structure Industrial and Manufacturing Engineering 93C05 34A09 37J06 Optimization and Control (math.OC) Differential–algebraic equation Control and Systems Engineering Maximally monotone structure FOS: Mathematics Mathematics - Numerical Analysis Business and International Management Electrical and Electronic Engineering Mathematics - Optimization and Control |
| Zdroj: | Systems & Control Letters. 177:105564 |
| ISSN: | 0167-6911 |
| Popis: | Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential-algebraic equations (DAE) systems. This paper presents extensions of results in Gernandt, Haller & Reis (2021) and Mehrmann & Van der Schaft (2022) in the context of maximally monotone structures and shows that any such space can be written as composition of a Dirac and a resistive structure. Furthermore, appropriate coordinate representations are presented as well as explicit expressions for the associated transfer functions. 13 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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