On discrete-time dissipative port-Hamiltonian (descriptor) systems
Optimization and Control
2023-10-18 v3 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.2301.06731,
title = {On discrete-time dissipative port-Hamiltonian (descriptor) systems},
author = {Karim Cherifi and Hannes Gernandt and Dorothea Hinsen and Volker Mehrmann},
journal= {arXiv preprint arXiv:2301.06731},
year = {2023}
}
Comments
29 pages, 3 figures