DocumentCode :
839495
Title :
The stability of second-order quadratic differential equations
Author :
Koditschek, Daniel E. ; Narendra, Kumpati S.
Author_Institution :
Yale University, New Haven, CT, USA
Volume :
27
Issue :
4
fYear :
1982
fDate :
8/1/1982 12:00:00 AM
Firstpage :
783
Lastpage :
798
Abstract :
This paper investigates the stability properties of second-order systems. 
, where 
contains either quadratic terms-system (1)-or linear and quadratic terms-system (2)-in 
. The principal contributions are summarized in two theorems which give necessary, and sufficient conditions for stability and asymptotic stability in the large of systems (1) and (2), respectively.
, where contains either quadratic terms-system (1)-or linear and quadratic terms-system (2)-in . The principal contributions are summarized in two theorems which give necessary, and sufficient conditions for stability and asymptotic stability in the large of systems (1) and (2), respectively.Keywords :
Asymptotic stability, nonlinear systems; Nonlinear differential equations; Stability, nonlinear systems; Adaptive control; Asymptotic stability; Control systems; Differential equations; Electric variables control; Helium; Limit-cycles; Nonlinear control systems; Nonlinear systems; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1103016
Filename :
1103016
Link To Document :
