The selection of the viability kernel for a differential inclusion

A controlled system and the differential inclusion corresponding to it, which function in a finite time interval and are restricted by a phase constraint in the form of a compact set in position space, are considered. A trial algorithm for the approximate construction of the viability kernel of the...

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Veröffentlicht in:Journal of applied mathematics and mechanics 2001, Vol.65 (5), p.805-816
Hauptverfasser: Zavarin, A.B., Ushakov, V.N.
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Ushakov, V.N.
description A controlled system and the differential inclusion corresponding to it, which function in a finite time interval and are restricted by a phase constraint in the form of a compact set in position space, are considered. A trial algorithm for the approximate construction of the viability kernel of the differential inclusion is proposed and also an algorithm for constructing the ϵ-viable solutions of the controlled system and the differential inclusion.
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title The selection of the viability kernel for a differential inclusion
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