DocumentCode
790429
Title
On the control applications of a determinant equality related to eigenvalue computation
Author
Sain, M.K.
Author_Institution
Univ. of Notre Dame, Notre Dame, IN, USA
Volume
11
Issue
1
fYear
1966
fDate
1/1/1966 12:00:00 AM
Firstpage
109
Lastpage
111
Abstract
A determinant equality known in linear algebra is shown to be an effective tool for control engineers in reducing complexity of eigenvalue computation and increasing insight into system behavior. Included are its applications to matrix products and singular matrices, to the study of systems with poles at the origin, and to the problem of finding the characteristic equation of an optimal regulator problem.
Keywords
Determinants; Eigenvalues; Control systems; Differential equations; Eigenvalues and eigenfunctions; Inspection; Linear algebra; Matrices; Open loop systems; Regulators; State-space methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1966.1098227
Filename
1098227
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