DocumentCode
790820
Title
A method for simplifying linear dynamic systems
Author
Davison, Edward J.
Author_Institution
Univ. of Toronto, Ont., Canada
Volume
11
Issue
1
fYear
1966
fDate
1/1/1966 12:00:00 AM
Firstpage
93
Lastpage
101
Abstract
Often it is possible to represent physical systems by a number of simultaneous linear differential equations with constant coefficients, 
but for many processes (e.g., chemical plants, nuclear reactors), the order of the matrix A may be quite large, say 50×50, 100×100, or even 500×500. It is difficult to work with these large matrices and a means of approximating the system matrix by one of lower order is needed. A method is proposed for reducing such matrices by constructing a matrix of lower order which has the same dominant eigenvalues and eigenvectors as the original system.
but for many processes (e.g., chemical plants, nuclear reactors), the order of the matrix A may be quite large, say 50×50, 100×100, or even 500×500. It is difficult to work with these large matrices and a means of approximating the system matrix by one of lower order is needed. A method is proposed for reducing such matrices by constructing a matrix of lower order which has the same dominant eigenvalues and eigenvectors as the original system.Keywords
Linear systems, time-invariant continuous-time; Matrices; Airplanes; Chemical processes; Chemical reactors; Differential equations; Eigenvalues and eigenfunctions; Mathematical model; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1966.1098264
Filename
1098264
Link To Document