What Are the Physical Dimensions of the A Matrix?

  title={What Are the Physical Dimensions of the A Matrix?},
  author={H. J. Palanthandalam-Madapusi and D. S. Bernstein and Rajesh Venugopal},
  journal={2007 American Control Conference},
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. 

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-8 of 8 references

Multidimensional Analysis: Algebras and Systems for Science and Engineering

  • G. W. Hart
  • Springer, New York
  • 1995
Highly Influential
5 Excerpts

Dimensional Analysis: An Elegant Technique for Facilitating the Teaching of Mathematical Modeling,

  • T. H. Fay, S. V. Joubert
  • Int. J. Math. Education Science Tech.,
  • 2002
1 Excerpt

Applied Dimensional Analysis and Modeling

  • T. Szirtes
  • McGraw- Hill, New York
  • 1998
1 Excerpt

and W

  • W. D. Curtis, J. D. Logan
  • A. Parker, “Dimensional Analysis and the Pi…
  • 1982
1 Excerpt

Dimensional Analysis and the Pi Theorem

  • J. D. Logan, W. A. Parker
  • Lin . Alg . Appl .
  • 1974

Mathematics Applied to Deterministic Problems in the Natural Sciences

  • C. C. Lin, L. A. Segel
  • Macmillan Publishing Co., Inc., New York
  • 1974
1 Excerpt

Dimensional Analysis

  • H. E. Huntley
  • Dover Publications Inc., New York
  • 1967

Hydrodynamics – A Study in Logic

  • G. Birkhoff
  • Fact, and Similitude, Dover Publications Inc…
  • 1955
1 Excerpt

Similar Papers

Loading similar papers…