Well-posedness and stability of infinite-dimensional systems under monotone feedback: Application to boundary controlled port-Hamiltonian systems

Abstract: We study the well-posedness and stability of an impedance passive infinite-dimensional linear system under nonlinear monotone feedback. In particular, we establish the existence of strong and generalised solutions of the closed-loop system and we introduce conditions guaranteeing that the origin is a globally asymptotically stable equilibrium point of the closed-loop system. We use our results to investigate the well-posedness and stability of boundary controlled port-Hamiltonian systems.

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar (pH Seminar)

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