DocumentCode :
837972
Title :
-Dimensional controllability with 
controlsAuthor :
Hunt, Louis R.
Author_Institution :
Texas Technical University, Lubbock, TX, USA
Volume :
27
Issue :
1
fYear :
1982
fDate :
2/1/1982 12:00:00 AM
Firstpage :
113
Lastpage :
117
Abstract :
Let 
be a connected real-analytic -dimensional manifold, 
be complete real-analytic vector fields on which are linearly independent at some point of , and 
be real-valued controls. Consider the controllability of the system 
. Necessary and sufficient conditions are given so that this system is controllable on any simply connected domain 
contained in on which 
are linearly independent. These conditions depend on the computation of Lie brackets at those points where are linearly dependent.
be a connected real-analytic -dimensional manifold, be complete real-analytic vector fields on which are linearly independent at some point of , and be real-valued controls. Consider the controllability of the system . Necessary and sufficient conditions are given so that this system is controllable on any simply connected domain contained in on which are linearly independent. These conditions depend on the computation of Lie brackets at those points where are linearly dependent.Keywords :
Controllability, nonlinear systems; Algebra; Control systems; Controllability; Integral equations; Kalman filters; Mathematics; Modules (abstract algebra); Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1982.1102876
Filename :
1102876
Link To Document :
