This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first “Workshop on Systems Theory and PDEs” (WOSTAP), held at TU Bergakademie Freiberg in July 2022.

On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System.- A Note on Some Non-Local Boundary Conditions and their Use in Connection with Beltrami Fields.- Spectral Theory for Schrodinger Operators on Compact Metric Graphs with δ AND δ′ Couplings: A Survey.- Asymptotic Stability of port-Hamiltonian Systems.- Port-Hamiltonian Formulation of Oseen Floes.- On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems.- On Differential-Algebraic Equations with Bounded Spectrum in Banach Spaces.- BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators.- On checking Lp-admissibility for parabolic control systems.

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first “Workshop on Systems Theory and PDEs” (WOSTAP), held at TU Bergakademie Freiberg in July 2022. The main topics covered include: Differential algebraic equationsPort-Hamiltonian systems in both finite and infinite dimensionsHighly nonlinear equations related to elasticity/plasticityModeling of thermo-piezo-electromagnetism

Presents recent advances and open problems in the area of systems theory and PDEs Highlights a number of important topics at this active cross section of research Features chapters based on the first “Workshop on Systems Theory and PDEs” held at TU Bergakademie Freiberg, July 2022