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arXiv · 2106.05128

A geometric approach to convex processes: from reachability to stabilizability

Jaap Eising·M. Kanat Camlibel
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Abstract

This paper studies system theoretic properties of the class of difference inclusions of convex processes. We will develop a framework considering eigenvalues and eigenvectors, weakly and strongly invariant cones, and a decomposition of convex processes. This will allow us to characterize reachability, stabilizability and (null-)controllability of nonstrict convex processes in terms of spectral properties. These characterizations generalize all previously known results regarding for instance linear processes and specific classes of nonstrict convex processes.

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Jaap Eising, M. Kanat Camlibel. 2021-06-09. A geometric approach to convex processes: from reachability to stabilizability. https://arxiv.org/abs/2106.05128

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