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 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0021-8928 0021-8928 |
| DOI: | 10.1016/S0021-8928(01)00086-7 |