Controllability of Convex Processes

Aubin, J.-P., Frankowska, H., & Olech, C. (1986). Controllability of Convex Processes. SIAM Journal on Control and Optimization 24 (6) 1192-1211. 10.1137/0324072.

Full text not available from this repository.

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.

Item Type:	Article
Depositing User:	Luke Kirwan
Date Deposited:	09 Aug 2016 13:33
Last Modified:	27 Aug 2021 17:27
URI:	https://pure.iiasa.ac.at/13647

Actions (login required)

View Item