DocumentCode :
843807
Title :
Time scale decomposition of linear implicit singularly perturbed systems
Author :
Khalil, Hassan K.
Author_Institution :
Michigan State University, East Lansing, MI, USA
Volume :
29
Issue :
11
fYear :
1984
fDate :
11/1/1984 12:00:00 AM
Firstpage :
1054
Lastpage :
1056
Abstract :
An implicit singularly perturbed system 
, where 
is singular, is considered. This note presents an algorithm for decomposing the system into a set of isolated subsystems at different time scales. The decomposed form of the system is used to construct a uniform asymptotic approximation to 
.
, where is singular, is considered. This note presents an algorithm for decomposing the system into a set of isolated subsystems at different time scales. The decomposed form of the system is used to construct a uniform asymptotic approximation to .Keywords :
Decoupling of systems, linear; Singularly perturbed systems, linear; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Nonlinear systems; Null space; Perturbation methods;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103429
Filename :
1103429
Link To Document :
