eprintid: 13647 rev_number: 7 eprint_status: archive userid: 353 dir: disk0/00/01/36/47 datestamp: 2016-08-09 13:33:57 lastmod: 2021-08-27 17:27:35 status_changed: 2016-08-09 13:33:57 type: article metadata_visibility: show item_issues_count: 2 creators_name: Aubin, J.-P. creators_name: Frankowska, H. creators_name: Olech, C. creators_id: 7347 title: Controllability of Convex Processes ispublished: pub 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. date: 1986-11 date_type: published id_number: 10.1137/0324072 creators_browse_id: 1134 full_text_status: none publication: SIAM Journal on Control and Optimization volume: 24 number: 6 pagerange: 1192-1211 refereed: TRUE issn: 0363-0129 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: 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 .