The difference between port-Hamiltonian, passive and positive real descriptor systems

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Cherifi, Karim, Gernandt, Hannes, Hinsen, Dorothea
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.10.2022
Subjects
Hamiltonian functions
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Summary: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, KYP inequalities and a~finite available storage is investigated.
ISSN:2331-8422