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@article{PalanthandalamMadapusi2007WhatAT, title={What Are the Physical Dimensions of the A Matrix?}, author={H. J. Palanthandalam-Madapusi and Dennis S. Bernstein and Rajesh Venugopal}, journal={2007 American Control Conference}, year={2007}, pages={2491-2496} }

- Published in American Control Conference 2007
DOI:10.1109/ACC.2007.4282886

Physical dimensions are the link between mathematical models and the real world. In this article we extended results of the work of Hart (1995) by determining the dimensional structure of a matrix under which standard operations involving the inverse, powers, exponential, and eigenvalues are valid. These results were applied to state space models. We also distinguished between different types of dimensionless units.