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.

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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

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