DocumentCode
1164954
Title
On the exponential stability of discrete-time systems with applications in observer design
Author
Aitken, Victor C. ; Schwartz, Howard M.
Author_Institution
Defence Res. Establ. Suffield, Medicine Hat, Alta., Canada
Volume
39
Issue
9
fYear
1994
fDate
9/1/1994 12:00:00 AM
Firstpage
1959
Lastpage
1962
Abstract
Exponential stability of discrete-time systems, stability domains, and state bounds are obtained with the use of vector norm Lyapunov functions. For linear systems, necessary and sufficient conditions are given for asymptotic stability, and exponential bounds are derived. For nonlinear systems, sufficient conditions for exponential stability also yield a stability domain and exponential bounds. Applications are demonstrated in observer design for uncertain discrete-time nonlinear systems
Keywords
Lyapunov methods; discrete time systems; stability criteria; state estimation; asymptotic stability; exponential bounds; exponential stability; necessary and sufficient conditions; observer design; stability domains; state bounds; uncertain discrete-time nonlinear systems; vector norm Lyapunov functions; Asymptotic stability; Buildings; Linear systems; Lyapunov method; Nonlinear systems; Observers; Stability analysis; State estimation; Sufficient conditions; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.317135
Filename
317135
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