Transitivity of Commutativity for Linear Time-Varying Analog Systems
Systems and Control
2021-03-05 v1
Abstract
In this contribution, the transitivity property of commutative first-order linear time-varying systems is investigated with and without initial conditions. It is proven that transitivity property of first-order systems holds with and without initial conditions. On the base of impulse response function, transitivity of commutation property is formulated for any triplet of commutative linear time-varying relaxed systems. Transitivity proves are given for some special combinations of first and second-order linear time-varying systems which are initially relaxed.
Cite
@article{arxiv.1709.04477,
title = {Transitivity of Commutativity for Linear Time-Varying Analog Systems},
author = {Mehmet Emir Koksal},
journal= {arXiv preprint arXiv:1709.04477},
year = {2021}
}
Comments
22 pages, 2 figures