The difference between port-Hamiltonian, passive and positive real descriptor systems-Reference-Cited by-同舟云学术

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

Published:2023-11-11 Issue: Volume: Page:
ISSN:0932-4194
Container-title:Mathematics of Control, Signals, and Systems
language:en
Short-container-title:Math. Control Signals Syst.

Author:

Cherifi Karim,Gernandt Hannes^ORCID,Hinsen Dorothea

Abstract

AbstractThe 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.

Funder

Deutsche Forschungsgemeinschaft

Werner Siemens-Stiftung

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s00498-023-00373-2.pdf

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