On discrete-time dissipative port-Hamiltonian (descriptor) systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen, Volker, Mehrmann
TL;DR
This paper introduces a discrete-time port-Hamiltonian descriptor framework for linear systems, linking it to positive real systems and KYP inequalities, expanding the theoretical understanding of passive dynamical systems.
Contribution
It presents a novel discrete-time pH descriptor formulation for linear systems, connecting it to positive and bounded real systems and KYP inequalities.
Findings
Formulation for discrete-time pH descriptor systems
Relation to positive and bounded real systems
Characterization via KYP inequalities
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.
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Taxonomy
TopicsControl and Stability of Dynamical Systems · Numerical methods for differential equations · Gas Dynamics and Kinetic Theory