DocumentCode :
799782
Title :
Generation of Liapunov functions for time-varying nonlinear systems
Author :
Wall, E.
Author_Institution :
University of Colorado, Denver, CO, USA
Volume :
14
Issue :
2
fYear :
1969
fDate :
4/1/1969 12:00:00 AM
Firstpage :
211
Lastpage :
211
Abstract :
A procedure for the generation of Liapunov functions for time-varying nonlinear systems is described. A composite differential one-form is derived from the basic system equations. A line integral of the one-form, with 
held constant, produces the candidate for a Liapunov function. An example is included.
held constant, produces the candidate for a Liapunov function. An example is included.Keywords :
Lyapunov functions; Differential equations; Integral equations; Linear systems; Nonlinear equations; Nonlinear systems; Stability; State-space methods; Sufficient conditions; Time varying systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1969.1099127
Filename :
1099127
Link To Document :
