Controllability of Convex Processes

Aubin, J.-P., Frankowska, H., & Olech, C. (1985). Controllability of Convex Processes. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-85-041

Preview

Text WP-85-041.pdf Download (804kB) | Preview

Abstract

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 the controllability is equivalent to the observability of the adjoint inclusion.

Actions (login required)

View Item