DocumentCode
810395
Title
Lyapunov functions for quadratic differential equations with applications to adaptive control
Author
Luders, Gerd ; Narendra, Kumpati S.
Author_Institution
Yale University, New Haven, CT, USA
Volume
17
Issue
6
fYear
1972
fDate
12/1/1972 12:00:00 AM
Firstpage
798
Lastpage
801
Abstract
Conditions are derived for the existence of quadratic Lyapunov functions for vector differential equations with quadratic terms. These conditions are used to establish a set of nonlinear equations for which the null solution is asymptotically stable in the whole. Many of the recent results in the stability of model reference adaptive systems are particular cases of these general conditions.
Keywords
Adaptive control; Asymptotic stability; Lyapunov functions; Nonlinear systems, continuous-time; Adaptive control; Adaptive systems; Control systems; Differential equations; Lyapunov method; Nonlinear equations; Pattern recognition; Programmable control; Stability; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1972.1100148
Filename
1100148
Link To Document