DocumentCode :
795638
Title :
An improved frequency time domain stability criterion for autonomous continuous systems
Author :
O´Shea, R.
Author_Institution :
US Steel Applied Research Laboratories, Monroeville, PA, USA
Volume :
12
Issue :
6
fYear :
1967
fDate :
12/1/1967 12:00:00 AM
Firstpage :
725
Lastpage :
731
Abstract :
A sufficient condtion given for the asymptotic stability of a system having a single monotonic nonlinearity with slope confined to ![[0, k_{2}]](/images/tex/4776.gif)
and a transfer function 
, is 
where 
for 
and 
for 
for 
and 
for 
, and 
. The improvement consists of the addition of the 
term which corresponds to a nonzero time function for 
, resulting in 
multipliers whose phase angle is capable of varying from +90° to -90° any desired number of times. As is shown by examples, the new criterion gives better results than existing criteria. Also developed is an improved criterion for an odd monotonic nonlinearity.
and a transfer function , is where for and for for and for , and . The improvement consists of the addition of the term which corresponds to a nonzero time function for , resulting in multipliers whose phase angle is capable of varying from +90° to -90° any desired number of times. As is shown by examples, the new criterion gives better results than existing criteria. Also developed is an improved criterion for an odd monotonic nonlinearity.Keywords :
Asymptotic stability; Nonlinear systems, continuous-time; Asymptotic stability; Continuous time systems; Differential equations; Stability criteria; Steel; Sufficient conditions; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1967.1098725
Filename :
1098725
Link To Document :
