Symmetry in linear physical systems

Abstract: Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. In this talk we will focus on reciprocal and input-output Hamiltonian systems. Their characterization is studied from a state point of view, as well as from an input-output point of view. In particular, reciprocal systems give rise to a symmetric kernel of their Hankel operator, while input-output Hamiltonian systems are more naturally approached from a Volterra operator point of view. Geometrically, it turns out that both define Lagrangian subspaces with corresponding generating functionals. Next, the close relations with port-Hamiltonian systems and time reversibility will be considered. The system classes under consideration are expected to admit scalable control laws, and to be important building blocks in control design.

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar

Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY