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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v48.i3.50
pages 46-53

On Properties of Maximal Set of External Practical Stability of Discrete Systems

Fedor G. Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Vladimir V. Pichkur
Kyiv National Taras Shevchenko University, Kyiv

要約

The properties of the maximal set of the external practical stability of discrete systems: compactness, necessary and sufficient conditions for belonging of a point to the boundary and inside are grounded. For a linear discrete system the Minkowski function, inverse Minkowski function and support function of the maximal set as well as the belonging criterion of a point to its boundary are obtained. The results have algorithmic orientation.