DocumentCode
954276
Title
New sufficient conditions for the stability of slowly varying linear systems
Author
Amato, Francesco ; Celentano, Giovanni ; Garofalo, Franco
Author_Institution
Dipartimento di Inf. e Sistemistica, Napoli Univ., Italy
Volume
38
Issue
9
fYear
1993
fDate
9/1/1993 12:00:00 AM
Firstpage
1409
Lastpage
1411
Abstract
The frozen-time approach is used to state some new sufficient conditions for the stability of linear time-varying systems. An upper bound on the norm of the time derivative of system matrix which, under different assumptions on frozen-time system eigenvalues, guarantees asymptotic stability or exponential stability of the system is established
Keywords
eigenvalues and eigenfunctions; linear systems; matrix algebra; optimisation; stability; time-varying systems; asymptotic stability; eigenvalues; exponential stability; frozen-time approach; linear time-varying systems; slowly varying linear systems; stability; sufficient conditions; system matrix; time derivative; Adaptive control; Asymptotic stability; Control theory; Eigenvalues and eigenfunctions; Filtering; Least squares approximation; Linear systems; Stochastic processes; Sufficient conditions; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.237657
Filename
237657
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