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