Work

Symmetry structures in linear physical systems

Year: 2025

Type: article

Abstract: Physical systems with symmetry structures arise abundantly in applications, often admit scalable control laws, and are important building blocks in synthesis problems. The present paper focusses on linear reciprocal systems and input–output Hamiltonian systems. Their characterization is studied from an input–output, as well as from a state space point of view. Geometrically both are seen to define Lagrangian subspaces with corresponding generating functionals. Furthermore, the relation of reciprocity and input–output Hamiltonian structure with time reversibility is analyzed.

Source: Systems & Control Letters

DOI: 10.1016/j.sysconle.2025.106287

Authors: Arjan van der Schaft, Rodolphe Sepulchre, Thomas Chaffey

Institutions: University of Cambridge, KU Leuven, The University of Sydney

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,910

Funders: European Commission, Horizon 2020 Framework Programme, European Research Council, H2020 European Research Council