DocumentCode
3171937
Title
What Are the Physical Dimensions of the A Matrix?
Author
Palanthandalam-Madapusi, Harish J. ; Bernstein, Dennis S. ; Venugopal, Ravinder
Author_Institution
Univ. of Michigan, Ann Arbor
fYear
2007
fDate
9-13 July 2007
Firstpage
2491
Lastpage
2496
Abstract
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.
Keywords
eigenvalues and eigenfunctions; matrix algebra; state-space methods; eigenvalues; exponentials; inverse matrix; mathematical model; matrix dimensional structure; physical dimensions; state space model; Aerodynamics; Angular velocity; Books; Cities and towns; Linear algebra; Mathematics; Oscillators; Physics computing; State-space methods; Velocity control;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2007. ACC '07
Conference_Location
New York, NY
ISSN
0743-1619
Print_ISBN
1-4244-0988-8
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2007.4282886
Filename
4282886
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