How to tighten the control set?

Tallos, Péter (2023) How to tighten the control set? Central European Journal of Operations Research . DOI https://doi.org/10.1007/s10100-023-00850-8

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Official URL: https://doi.org/10.1007/s10100-023-00850-8

Abstract

We examine the problem of reducing the control set in a dynamical system so that the solution set and the attainable sets remain essentially unchanged. We cite some classical results to exhibit the problem and promote a set-valued approach. A necessary condition is formulated by using a concept of set-valued derivative, which can be regarded as an extension of the classical Relaxation theorem.

Item Type:

Article

Uncontrolled Keywords:

control systems, extremal controls, set-valued maps, differential inclusions, relaxation, set-valued derivative

Divisions:

Institute of Data Analytics and Information Systems

Subjects:

Mathematics, Econometrics

DOI:

https://doi.org/10.1007/s10100-023-00850-8

ID Code:

8115