DocumentCode :
866556
Title :
Lyapunov function of a fourth-order system
Author :
Ku, Y.H.
Author_Institution :
Uni. of Pennsylvania, Philadelphia, PA, USA
Volume :
9
Issue :
3
fYear :
1964
fDate :
7/1/1964 12:00:00 AM
Firstpage :
276
Lastpage :
278
Abstract :
The Lyapunov function 
and its time derivative 
are expressed in matrix form by 
and 
, respectively, where 
and 
contain elements which involve the state variables, and 
is the transpose of 
. A given fourth-order nonlinear system is characterized by 
, where 
contains nonlinear elements. Simanov\´s problem is extended to a fourth-order system whose nonlinearity is a constrained function of two state variables.
and its time derivative are expressed in matrix form by and , respectively, where and contain elements which involve the state variables, and is the transpose of . A given fourth-order nonlinear system is characterized by , where contains nonlinear elements. Simanov\´s problem is extended to a fourth-order system whose nonlinearity is a constrained function of two state variables.Keywords :
Nonlinear systems; Books; Control systems; Delay; Kalman filters; Lyapunov method; Nonlinear equations; Nonlinear systems; Stability; Symmetric matrices; Variable speed drives;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1964.1105704
Filename :
1105704
Link To Document :
