1. Port-Hamiltonian Realizations of Positive Real Descriptor Systems
- Author
-
Chu, Delin and Mehrmann, Volker
- Subjects
Mathematics - Optimization and Control ,Mathematics - Numerical Analysis ,93B05, 93B40, 93B52, 65F35 - Abstract
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 implication does not always hold. In [K. Cherifi, H. Gernandt, and D. Hinsen. The difference between port-Hamiltonian, passive and positive real descriptor systems. Math. Control Signals Systems, pages 1-32, 2023] sufficient conditions for the converse are presented. We refine these conditions and present for a completely controllable, completely observable and positive real descriptor system a necessary and sufficient condition as well as an explicit method to compute a port-Hamiltonian realization of a general positive real descriptor system.
- Published
- 2024