Passive Linear Discrete-Time Systems: Characterization through Structure
Optimization and Control
2021-02-03 v4 Functional Analysis
Abstract
We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through the structure of maximal, matrix-convex set, closed under multiplication among its elements. Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with rational functions. It turns out that in the continuous-time case, the corresponding structure is of a maximal matrix-convex, cone, closed under inversion.
Cite
@article{arxiv.2002.06632,
title = {Passive Linear Discrete-Time Systems: Characterization through Structure},
author = {Izchak Lewkowicz},
journal= {arXiv preprint arXiv:2002.06632},
year = {2021}
}