DocumentCode :
792302
Title :
A combined frequency-time domain stability criterion for autonomous continuous systems
Author :
O´shea, R.P.
Author_Institution :
University of Pittsburgh, Pittsburgh, PA, USA
Volume :
11
Issue :
3
fYear :
1966
fDate :
7/1/1966 12:00:00 AM
Firstpage :
477
Lastpage :
484
Abstract :
An improved sufficient condition for asymptotic stability developed for the monotone nonlinearity is ![\\Re [Z(j\\omega ) (G(j\\omega ) + 1/k_{2})]](/images/tex/4601.gif)
or ![\\Re [Z(j\\omega ,) \\bar(G(j\\omega ) + 1/k_{2})] \\geq 0](/images/tex/4602.gif)
where 
and 
. Examples of allowed 
functions are considered which show that the angle of 
is permitted to take on both positive and negative values outside the 
band. The approach used in deriving the above results is a general one which reduces the problem of obtaining sufficient conditions for asymptotic stability to one of obtaining a bound for a cross-correlation function 
in terms of 
. As an example, a sufficient condition for asymptotic stability is developed for a continuous nonlinearity having a monotone bound which appears to have considerable practical application.
or where and . Examples of allowed functions are considered which show that the angle of is permitted to take on both positive and negative values outside the band. The approach used in deriving the above results is a general one which reduces the problem of obtaining sufficient conditions for asymptotic stability to one of obtaining a bound for a cross-correlation function in terms of . As an example, a sufficient condition for asymptotic stability is developed for a continuous nonlinearity having a monotone bound which appears to have considerable practical application.Keywords :
Asymptotic stability; Nonlinear systems, continuous-time; Asymptotic stability; Continuous time systems; Stability criteria; Sufficient conditions; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1966.1098402
Filename :
1098402
Link To Document :
