DocumentCode
2764938
Title
On global stability of a linear time-varying system in the presence of two kinds of local instabilities
Author
Tong, Wen ; Plotkin, Eugene I. ; Swamy, M.N.S.
Author_Institution
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Volume
2
fYear
1994
fDate
3-5 Aug 1994
Firstpage
1339
Abstract
In this paper, we introduce two new types of local instabilities which exclusively pertain to a linear time-varying (LTV) system. Investigation of these local instabilities has lead to new necessary and sufficient conditions for a LTV system to be globally stable. It is shown that a direct extension of the stability conditions of a linear time-invariant (LTI) system is not applicable to a LTV system. The admissible area for a set of coefficients of a globally stable LTV system has been established and this area is found to be much larger than its LTI system counterpart
Keywords
linear systems; poles and zeros; stability; time-varying systems; transfer functions; LTV system; admissible area; global stability; linear time-varying system; local instabilities; Eigenvalues and eigenfunctions; Lyapunov method; Matrix converters; Stability; Sufficient conditions; System testing; Time domain analysis; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location
Lafayette, LA
Print_ISBN
0-7803-2428-5
Type
conf
DOI
10.1109/MWSCAS.1994.519056
Filename
519056
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