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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Maximal Initial Data Set in Problems of Practical Stability of Discrete System

卷 43, 册 3, 2011, pp. 1-8
DOI: 10.1615/JAutomatInfScien.v43.i3.10
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摘要

We substantiate properties of sets of attainability of a discrete system, on the basis of which the compactness of maximal set of initial conditions, properties of its boundary and internal points are proved. For linear discrete system we obtain the Minkowski function, the inverse Minkowski function and the support function of maximal set, as well as the criterion of belonging of the point to its boundary. The results have algorithmic direction.

对本文的引用
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  2. Pichkur Volodymyr, On practical stability of differential inclusions using Lyapunov functions, Discrete & Continuous Dynamical Systems - B, 22, 5, 2017. Crossref

  3. Pichkur V. V., Linder Ya. M., Tairova M. S., On the Practical Stability of Discrete Inclusions with Spatial Components, Journal of Mathematical Sciences, 254, 2, 2021. Crossref

  4. Pichkur V. V., Mazur D. A., Sobchuk V. V., CONTROLLABILITY OF A LINEAR DISCRETE SYSTEM WITH CHANGE OF THE STATE VECTOR DIMENSION, Journal of Numerical and Applied Mathematics, 1 (135), 2021. Crossref

  5. Sobchuk Valentyn, Asrorov Farhod, Perehuda Oleg, Sukretna Anna, Laptiev Oleksandr, Lukova-Chuiko Nataliia, The Limited Solutions Method for Telecommunications Network Information Security Models, 2021 IEEE 3rd International Conference on Advanced Trends in Information Theory (ATIT), 2021. Crossref

  6. Sobchuk Valentyn, Pichkur Volodymyr, Barabash Oleg, Laptiev Oleksandr, Igor Kovalchuk, Zidan Amina, Algorithm of Control of Functionally Stable Manufacturing Processes of Enterprises, 2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT), 2020. Crossref

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