DocumentCode :
799420
Title :
Higher order derivatives of Liapunov functions
Author :
Butz, Andreas
Author_Institution :
Northwestern University, Evanston, IL, USA
Volume :
14
Issue :
1
fYear :
1969
fDate :
2/1/1969 12:00:00 AM
Firstpage :
111
Lastpage :
112
Abstract :
The problem considered is that of inferring asymptotic stability by examining higher order derivatives of a Liapunov function when examination of only the first derivative does not permit such an inference. It is shown that a seemingly plausible approach using only 
and 
is vacuous. It is also shown that it is possible to infer asymptotic stability by examining and , and perhaps .
and is vacuous. It is also shown that it is possible to infer asymptotic stability by examining and , and perhaps .Keywords :
Asymptotic stability; Lyapunov functions; Asymptotic stability; Control systems; Control theory; Delay effects; Inference algorithms; Linear systems; Nonlinear equations; Stability analysis;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1969.1099092
Filename :
1099092
Link To Document :
