An introductory talk on infinite dimensional port-Hamiltonian systems

Abstract: Equations describing Port-Hamiltonian systems come in many forms, they can be ordinary linear or non-linear differential equations, and even discrete time difference equations. In this presentation we consider port-Hamiltonian systems described by partial differential equations. We show that the Hamiltonian leads to a very natural choice of the state space, and this choice leads to easy checkable conditions for e.g. existence of solutions. By combining mathematical techniques with the power balance, properties like stability can be shown.

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