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
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;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282886
