RT Journal Article
SR 00
ID 10.1137/0324072
A1 Aubin, J.-P.
A1 Frankowska, H.
A1 Olech, C.
T1 Controllability of Convex Processes
JF SIAM Journal on Control and Optimization
YR 1986
FD 1986-11
VO 24
IS 6
SP 1192
OP 1211
AB The purpose of this paper is to provide several characterizations of controllability of differential inclusions whose right-hand sides are convex processes. Convex processes are the set-valued maps whose graphs are convex cones; they are the set-valued analogues of linear operators. Such differential inclusions include linear systems where the controls range over a convex cone (and not only a vector space). The characteristic properties are couched in terms of invariant cones by convex processes, or eigenvalues of convex processes, or a rank condition. We also show that controllability is equivalent to observability of the adjoint inclusion.
SN 0363-0129
LK https://pure.iiasa.ac.at/id/eprint/13647/