DocumentCode :
810562
Title :
On the global controllability of perturbed controllable systems
Author :
Davison, E.J. ; Ball, D.
Author_Institution :
University of Toronto, Toronto, Ontario, Canada
Volume :
17
Issue :
6
fYear :
1972
fDate :
12/1/1972 12:00:00 AM
Firstpage :
825
Lastpage :
826
Abstract :
By using a recent theorem of Davison and Kunze [1], it is shown that, if certain conditions hold such that the system 
is globally controllable, then the perturbed system ![\\dot{x} = [A(x,t) + \\epsilon\\tilde{A}(x,t)]x + [B(x,t) + \\epsilon\\tilde{B}(x,t)u](/images/tex/3690.gif)
, where 
and 
are bounded, is also globally controllable, provided ε is small enough. In particular, if 
is controllable, then so is the perturbed system ![\\dot{x} = [A(t) + \\epsilon\\tilde{A}(x,t)]x + [B(t) + \\epsilon\\tilde{B}(x,t)]u](/images/tex/3694.gif)
.
is globally controllable, then the perturbed system , where and are bounded, is also globally controllable, provided ε is small enough. In particular, if is controllable, then so is the perturbed system .Keywords :
Controllability; Nonlinear systems, time-varying; Time-varying systems, nonlinear; Adaptive control; Artificial intelligence; Automatic control; Control systems; Controllability; Councils; Equations; Feedback; Nonlinear filters; Optimal control;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100166
Filename :
1100166
Link To Document :
