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

Port-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 form...

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Bibliographic Details
Main Authors Cherifi, Karim, Gernandt, Hannes, Hinsen, Dorothea, Mehrmann, Volker
Format Journal Article
LanguageEnglish
Published 17.01.2023
Subjects
Mathematics - Dynamical Systems
Mathematics - Optimization and Control
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Summary:Port-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.
DOI:10.48550/arxiv.2301.06731