Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions
By using Lyapunov functions, we obtain conditions for the invariance and stochastic stability of invariant sets of Itô-type systems.
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| Date: | 2001 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4248 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791366147080192 |
|---|---|
| author | Stanzhitskii, A. N. Станжицький, О. М. |
| author_facet | Stanzhitskii, A. N. Станжицький, О. М. |
| author_institution_txt_mv | [
{
"author": "О. М. Станжицький",
"institution": null
}
] |
| author_sort | Stanzhitskii, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:08Z |
| description | By using Lyapunov functions, we obtain conditions for the invariance and stochastic stability of invariant sets of Itô-type systems. |
| first_indexed | 2026-03-24T02:56:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4248 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:56:03Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5e/8c8c366b3c0b4abc11cba78193777e5e.pdf |
| spelling | umjimathkievua-article-42482020-03-18T20:25:08Z Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions Дослідження інваріантних множин стохастичпих систем Іто за допомогою функцій Ляпунова Stanzhitskii, A. N. Станжицький, О. М. By using Lyapunov functions, we obtain conditions for the invariance and stochastic stability of invariant sets of Itô-type systems. За допомогою функцій Ляпупова одержано умови інваріантності та стохастичпої стійкості інваріантних множин систем типу Іто. Institute of Mathematics, NAS of Ukraine 2001-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4248 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 2 (2001); 282-285 Український математичний журнал; Том 53 № 2 (2001); 282-285 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4248/5200 https://umj.imath.kiev.ua/index.php/umj/article/view/4248/5201 Copyright (c) 2001 Stanzhitskii A. N. |
| spellingShingle | Stanzhitskii, A. N. Станжицький, О. М. Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title | Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title_alt | Дослідження інваріантних множин стохастичпих систем Іто за
допомогою функцій Ляпунова |
| title_full | Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title_fullStr | Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title_full_unstemmed | Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title_short | Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions |
| title_sort | investigation of invariant sets of itô stochastic systems with the use of lyapunov functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4248 |
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