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On the structural properties of the bounded control set of a linear control system

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Author(s):
Ayala, Victor ; Da Silva, Adriano
Total Authors: 2
Document type: Journal article
Source: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 29, n. 5, p. 15-pg., 2022-09-01.
Abstract

The present paper shows that the closure of the bounded control set of a linear control system contains all the bounded orbits of the system. As a consequence, we prove that the closure of this control set is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system. (AU)

FAPESP's process: 20/12971-4 - Control systems on flag bundles
Grantee:Adriano João da Silva
Support Opportunities: Regular Research Grants