Symmetry in linear physical systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910903273783296 |
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| author | van der Schaft, Arjan Sepulchre, Rodolphe Chaffey, Tom |
| author_facet | van der Schaft, Arjan Sepulchre, Rodolphe Chaffey, Tom |
| contents | Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. The present paper focusses on linear reciprocal and input-output Hamiltonian systems. Their characterization is studied from an input-output as well as from a state point of view. Geometrically, it turns out that they both define Lagrangian subspaces with corresponding generating functionals. Furthermore, the relations with time reversibility are analyzed. The system classes under consideration are expected to admit scalable control laws, and to be important building blocks in design. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry in linear physical systems van der Schaft, Arjan Sepulchre, Rodolphe Chaffey, Tom Optimization and Control Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. The present paper focusses on linear reciprocal and input-output Hamiltonian systems. Their characterization is studied from an input-output as well as from a state point of view. Geometrically, it turns out that they both define Lagrangian subspaces with corresponding generating functionals. Furthermore, the relations with time reversibility are analyzed. The system classes under consideration are expected to admit scalable control laws, and to be important building blocks in design. |
| title | Symmetry in linear physical systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2504.02062 |