On the Efficiency of the Functional Localization Method

On the Efficiency of the Functional Localization Method

We consider the question as to how precise the localization of invariant compact sets of a time-invariant system by the functional localization method can be in principle. We show that the union of all invariant compact sets can be dramatically different from the intersection of all localizing sets...

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Veröffentlicht in:Differential equations 2020-11, Vol.56 (11), p.1402-1407
1. Verfasser: Kanatnikov, A. N.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Zusammenfassung:We consider the question as to how precise the localization of invariant compact sets of a time-invariant system by the functional localization method can be in principle. We show that the union of all invariant compact sets can be dramatically different from the intersection of all localizing sets obtained by the functional method. A class of systems for which these two coincide is singled out.
ISSN:0012-2661
1608-3083
DOI:10.1134/S00122661200110026