Localization of spectrum and stability of certain classes of dynamical systems
We develop a method for the localization of spectra of multiparameter matrix pencils and matrix functions, which reduces the problem to the solution of linear matrix equations and inequalities. We formulate algebraic conditions for the stability of linear systems of differential, difference, and dif...
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5250 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511466126311424 |
|---|---|
| author | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_facet | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_sort | Mazko, A. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:48Z |
| description | We develop a method for the localization of spectra of multiparameter matrix pencils and matrix functions, which reduces the problem to the solution of linear matrix equations and inequalities. We formulate algebraic conditions for the stability of linear systems of differential, difference, and difference-differential equations. |
| first_indexed | 2026-03-24T03:13:20Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5250 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:20Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c4/2fe611c7e2065319814fb0d85bbdc8c4.pdf |
| spelling | umjimathkievua-article-52502020-03-18T21:28:48Z Localization of spectrum and stability of certain classes of dynamical systems Локализация спектра и устойчивость некоторых классов динамических систем. Mazko, A. G. Мазко, А. Г. Мазко, А. Г. We develop a method for the localization of spectra of multiparameter matrix pencils and matrix functions, which reduces the problem to the solution of linear matrix equations and inequalities. We formulate algebraic conditions for the stability of linear systems of differential, difference, and difference-differential equations. Пропонується методика локалізації спектра багатопараметричних пучків матриць і матричних функцій, що зводиться до розв'язування лінійних матричних рівнянь та нерівностей. Формулюються алгебраїчні умови стійкості лінійних систем диференціальних, різницевих та диференціально-різницевих рівнянь. Institute of Mathematics, NAS of Ukraine 1996-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5250 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 8 (1996); 1074-1079 Український математичний журнал; Том 48 № 8 (1996); 1074-1079 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5250/7193 https://umj.imath.kiev.ua/index.php/umj/article/view/5250/7194 Copyright (c) 1996 Mazko A. G. |
| spellingShingle | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. Localization of spectrum and stability of certain classes of dynamical systems |
| title | Localization of spectrum and stability of certain classes of dynamical systems |
| title_alt | Локализация спектра и устойчивость некоторых классов динамических
систем. |
| title_full | Localization of spectrum and stability of certain classes of dynamical systems |
| title_fullStr | Localization of spectrum and stability of certain classes of dynamical systems |
| title_full_unstemmed | Localization of spectrum and stability of certain classes of dynamical systems |
| title_short | Localization of spectrum and stability of certain classes of dynamical systems |
| title_sort | localization of spectrum and stability of certain classes of dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5250 |
| work_keys_str_mv | AT mazkoag localizationofspectrumandstabilityofcertainclassesofdynamicalsystems AT mazkoag localizationofspectrumandstabilityofcertainclassesofdynamicalsystems AT mazkoag localizationofspectrumandstabilityofcertainclassesofdynamicalsystems AT mazkoag lokalizaciâspektraiustojčivostʹnekotoryhklassovdinamičeskihsistem AT mazkoag lokalizaciâspektraiustojčivostʹnekotoryhklassovdinamičeskihsistem AT mazkoag lokalizaciâspektraiustojčivostʹnekotoryhklassovdinamičeskihsistem |