How to tighten the control set?

Peter Tallos ()
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Peter Tallos: Corvinus University of Budapest

Central European Journal of Operations Research, 2024, vol. 32, issue 4, No 12, 1109-1114

Abstract: 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.

Keywords: Control systems; Extremal controls; Set-valued maps; Differential inclusions; Relaxation; Set-valued derivative; 34A60; 49J21; 49K21 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10100-023-00850-8

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