Stabilizability of Strict Convex Processes with Respect to Arbitrary Stability Domains

Abstract

This paper studies the stabilizability problem with respect to an arbitrary stability domain for strict closed convex processes. The main result states necessary and sufficient conditions in terms of the eigenstructure of the dual processes under different assumptions depending on whether the convex process of interest is additive or not. The results presented in this paper are stronger than those existing in the literature in two respects: (i) they are valid for arbitrary stability domains and (ii) they guarantee existence of Bohl-type stable trajectories. We also illustrate the main result by means of examples for both nonadditive and additive processes.