3 citations · 7 across the 6 of their papers we have counts for
7 papers
Regularization of Port-Hamiltonian Descriptor Systems
Delin Chu, Volker Mehrmann
We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which…
Port-Hamiltonian Realizations of Positive Real Descriptor Systems
Delin Chu, Volker Mehrmann
The relationship between port-Hamiltonian and positive real descriptor systems is investigated. It is well-known that port-Hamiltonian systems are positive real, but the converse i…
On second order conditions for singular optimal control of port-Hamiltonian systems
M. Soledad Aronna, Volker Mehrmann
We study nonlinear singular optimal control problems of port-Hamil-tonian (descriptor) systems. We employ general control-affine cost functionals that include as a special case the…
Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback
Delin Chu, Volker Mehrmann
While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are pre…
Stabilization of linear Port-Hamiltonian Descriptor Systems via Output Feedback
Delin Chu, Volker Mehrmann
The structure preserving stabilization of (possibly non-regular) linear port-Hamiltonian descriptor (pHDAE) systems by output feedback is discussed. For general descriptor systems…
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
Andrea Brugnoli, Volker Mehrmann
It is well known that the Lagrangian and Hamiltonian descriptions of field theories are equivalent at the discrete time level when variational integrators are used. Besides the sym…
Control of port-Hamiltonian differential-algebraic systems and applications
Volker Mehrmann, Benjamin Unger
The modeling framework of port-Hamiltonian descriptor systems and their use in numerical simulation and control are discussed. The structure is ideal for automated network-based mo…