TY  - JOUR
ID  - iiasa13647
UR  - https://pure.iiasa.ac.at/id/eprint/13647/
IS  - 6
A1  - Aubin, J.-P.
A1  - Frankowska, H.
A1  - Olech, C.
Y1  - 1986/11//
N2  - 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.
JF  - SIAM Journal on Control and Optimization
VL  - 24
SN  - 0363-0129
TI  - Controllability of Convex Processes
SP  - 1192
AV  - none
EP  - 1211
ER  -