DocumentCode
848164
Title
Frequency domain results for systems with slow and fast dynamics
Author
Luse, J. William ; Khalil, Hassan K.
Author_Institution
Virginia Polytechnic Insitute and State University, Blacksburg, VA, USA
Volume
30
Issue
12
fYear
1985
fDate
12/1/1985 12:00:00 AM
Firstpage
1171
Lastpage
1179
Abstract
The mathematical treatment of systems with slow and fast dynamics has traditionally involved singular perturbation theory for differential equations. This paper suggests a set of conditions to be placed on a frequency domain description of a system to guarantee two time scale behavior. Some basic stability and approximation results are presented.
Keywords
Transfer function matrices; Automatic control; Differential equations; Feedback loop; Frequency domain analysis; Genetic expression; Modems; Polynomials; Reduced order systems; Stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1985.1103863
Filename
1103863
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