Controllability of Convex Processes

Authors:
  • JAJean-Pierre Aubin
    Jean-Pierre Aubin
  • HFHalina Frankowska
    Halina Frankowska
  • COCzesław Olech
    Czesław Olech
Publisher website
Google Scholar
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 controllability is equivalent to observability of the adjoint inclusion.

This publication has 10 references indexed in Scilit: