The difference between port-Hamiltonian, passive and positive real descriptor systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen
Abstract
Abstract The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to the more recently used notion of port-Hamiltonian descriptor systems. It is well-known that port-Hamiltonian systems are passive and that passive systems are positive real. Hence it is studied under which assumptions the converse implications hold. Furthermore, the relationship between passivity and KYP inequalities is investigated.
Topics & Concepts
PassivityConverseHamiltonian (control theory)MathematicsHamiltonian systemPort (circuit theory)Pure mathematicsControl theory (sociology)Computer scienceMathematical analysisEngineeringMathematical optimizationArtificial intelligenceGeometryElectronic engineeringControl (management)Electrical engineeringControl and Stability of Dynamical SystemsStability and Controllability of Differential EquationsStability and Control of Uncertain Systems