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