DocumentCode :
809518
Title :
A remark on reachable sets of linear systems
Author :
Witsenhausen, H.S.
Author_Institution :
Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA
Volume :
17
Issue :
4
fYear :
1972
fDate :
8/1/1972 12:00:00 AM
Firstpage :
547
Lastpage :
547
Abstract :
Any compact convex set of Rdcan occur as a reachable set of some 
-dimensional linear differential system with compact control variable constraint set. However, with the constraint sets most frequently considered in the literature, the reachable sets must be zonoids, a severe restriction on possible shapes when 
. On the other hand, given a zonoid, there is a differential system with scalar bang-bang control that has this zonoid as a reachable set.
-dimensional linear differential system with compact control variable constraint set. However, with the constraint sets most frequently considered in the literature, the reachable sets must be zonoids, a severe restriction on possible shapes when . On the other hand, given a zonoid, there is a differential system with scalar bang-bang control that has this zonoid as a reachable set.Keywords :
Linear systems, time-varying continuous-time; Optimal control; Bang-bang control; Control systems; Ellipsoids; Equations; Linear systems; Shape control; Strain control; Telephony; Time measurement;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100062
Filename :
1100062
Link To Document :
