DocumentCode :
1171103
Title :
Existence conditions for 
Lyapunov functions for a class of nonautonomous systems
Lyapunov functions for a class of nonautonomous systemsAuthor :
Mitra, Debasis ; So, Hing C.
Volume :
19
Issue :
6
fYear :
1972
fDate :
11/1/1972 12:00:00 AM
Firstpage :
594
Lastpage :
598
Abstract :
A class of natural Lyapunov functions of the form 
, is considered for the stability analysis of a general class of nonautonomous differential equations associated with many physical systems. It is shown that recent results on the existence of solutions to a class of linear inequalities directly yield necessary and sufficient conditions for the existence of a Lyapunov function of the form described.
, is considered for the stability analysis of a general class of nonautonomous differential equations associated with many physical systems. It is shown that recent results on the existence of solutions to a class of linear inequalities directly yield necessary and sufficient conditions for the existence of a Lyapunov function of the form described.Keywords :
Lyapunov functions; Nonlinear differential equations; Stability; Differential equations; Helium; Lyapunov method; Nonlinear equations; Resistors; Stability analysis; Sufficient conditions; Telephony;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1972.1083552
Filename :
1083552
Link To Document :
