On discrete-time dissipative port-Hamiltonian (descriptor) systems-Reference-Cited by-同舟云学术

On discrete-time dissipative port-Hamiltonian (descriptor) systems

Published:2023-12-06 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,Hinsen Dorothea,Mehrmann Volker

Abstract

AbstractPort-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for linear, completely causal, scattering passive dynamical systems based on the system coefficients. The relation of this formulation to positive and bounded real systems and the characterization via positive semidefinite solutions of Kalman–Yakubovich–Popov inequalities is also studied.

Funder

Fraunhofer-Einrichtung für Energieinfrastruktur und Geothermie IEG

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/s00498-023-00376-z.pdf

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