On reachability and null-controllability of nonstrict convex processes

Jaap Eising; M. Kanat Camlibel

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arXiv · 2106.15929

On reachability and null-controllability of nonstrict convex processes

Jaap Eising·M. Kanat Camlibel

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Abstract

This paper studies reachability and null-controllability for difference inclusions involving convex processes. Such difference inclusions arise, for instance, in the study of linear discrete-time systems whose inputs and/or states are constrained to lie within a convex cone. After developing a geometric framework for convex processes relying on invariance properties, we provide necessary and sufficient conditions for both reachability and null-controllability in terms of the spectrum of dual processes.

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Jaap Eising, M. Kanat Camlibel. 2021-06-30. On reachability and null-controllability of nonstrict convex processes. https://arxiv.org/abs/2106.15929

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