Localization of Invariant Compact Sets for Continuous Systems with Uncertainties

We analyze the method of localization of invariant compact sets in the case where the right-hand side of an autonomous system includes an uncertainty. We consider two cases depending on the current state of an autonomous system: the uncertainty on the right-hand side of the system is expressed by a...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-11, Vol.219 (1), p.150-154
Hauptverfasser: Kanatnikov, A. N., Krishchenko, A. P.
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Sprache:eng
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Zusammenfassung:We analyze the method of localization of invariant compact sets in the case where the right-hand side of an autonomous system includes an uncertainty. We consider two cases depending on the current state of an autonomous system: the uncertainty on the right-hand side of the system is expressed by a constant parameter or a parameter varying in time. It is shown that a localizing set constructed in the first case is also a localizing set in the second case.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3091-8