DocumentCode
869794
Title
Asymptotic stability of nonlinear systems
Author
Barnett, Stanley ; Storey, C.
Author_Institution
Loughborough University of Technology, Department of Mathematics, Loughborough, UK
Volume
2
Issue
10
fYear
1966
fDate
10/1/1966 12:00:00 AM
Firstpage
375
Abstract
Assuming x¿ = f(x) is asymptotically stable with a known Lyapunov function, an expression is given for g(x); so that x¿ = f(x) + g(x) is also asymptotically stable. A similar result applies to the nonautonomous case. Applications are outlined to systems with control, and to the construction of stable systems.
Keywords
circuit theory; mathematics; stability;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el:19660314
Filename
4206980
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