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On the Efficiency of the Functional Localization Method
Differential Equations ( IF 0.6 ) Pub Date : 2020-11-01 , DOI: 10.1134/s00122661200110026
A. N. Kanatnikov

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.

中文翻译:

论功能定位方法的效率

我们考虑的问题是,原则上通过功能定位方法对时不变系统的不变紧集进行定位的精度如何。我们表明,所有不变紧凑集的并集可以与通过泛函方法获得的所有定位集的交集显着不同。将这两者重合的一类系统单独挑出来。
更新日期:2020-11-01
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