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math.OC2024★ 1 cited
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…
math.OC2024
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…
math.OC2024★ 1 cited
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…