Symmetry in linear physical systems

Arjan van der Schaft; Rodolphe Sepulchre; Tom Chaffey

Symmetry in linear physical systems

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2504.02062 v2 pith:L3PSOGN2 submitted 2025-04-02 math.OC

Arjan van der Schaft , Rodolphe Sepulchre , Tom Chaffey This is my paper · ORCID

classification math.OC

keywords systemsinput-outputlinearphysicalsymmetryabundantlyadmitanalyzed

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Circuit realization and hardware linearization of monotone operator equilibrium networks
eess.SY 2025-09 conditional novelty 6.0 of 10

Resistor-diode circuits realize ReLU monotone operator equilibrium networks, and their exact gradient can be computed in the same hardware by linearizing the diodes.

Pith tools