DocumentCode
803489
Title
Closed-form solutions for a class of linear time-varying systems
Author
Mosteller, H.
Author_Institution
State University of New York, Binghamton, NY, USA
Volume
15
Issue
3
fYear
1970
fDate
6/1/1970 12:00:00 AM
Firstpage
389
Lastpage
390
Abstract
A method is presented for finding closed-form solutions for a class of linear time-varying systems. The method results from performing a time-varying linear transformation on the original system and adjoining a differential equation constraint. A set of underdetermined auxiliary equations (i.e., more unknowns than equations) must be solved. An example is given to show the usefulness of the method.
Keywords
Linear systems, time-varying continuous-time; Automatic control; Closed-form solution; Control systems; Differential equations; Eigenvalues and eigenfunctions; Electrostatic precipitators; Linear systems; Matrices; Regulators; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1970.1099476
Filename
1099476
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