DocumentCode :
809531
Title :
A controllability condition for nonlinear systems
Author :
Vidyasagar, M.
Author_Institution :
Sir George Williams University, Montreal, Quebec, Canada
Volume :
17
Issue :
4
fYear :
1972
fDate :
8/1/1972 12:00:00 AM
Firstpage :
569
Lastpage :
570
Abstract :
It is shown that a control system characterized by a differential equation of the form 
, whose linear part is controllable, is itself controllable provided the nonlinear function 
satisfies a condition amounting to stating that its "dc gain" approaches zero as 
. The proof uses the Schauder fixed-point theorem.
, whose linear part is controllable, is itself controllable provided the nonlinear function satisfies a condition amounting to stating that its "dc gain" approaches zero as . The proof uses the Schauder fixed-point theorem.Keywords :
Controllability; Nonlinear systems, time-varying; Time-varying systems, nonlinear; Control systems; Controllability; Councils; Differential equations; Integral equations; Nonlinear control systems; Nonlinear systems; Symmetric matrices; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100064
Filename :
1100064
Link To Document :
