Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay
We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the s...
Збережено в:
| Дата: | 1998 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1998
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4921 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511104760807424 |
|---|---|
| author | Kaiser, C. Korenevsky, D. G. Кайзер, К. Кореневский, Д. Г. Кайзер, К. Кореневский, Д. Г. |
| author_facet | Kaiser, C. Korenevsky, D. G. Кайзер, К. Кореневский, Д. Г. Кайзер, К. Кореневский, Д. Г. |
| author_sort | Kaiser, C. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:16Z |
| description | We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays). |
| first_indexed | 2026-03-24T03:07:35Z |
| format | Article |
| fulltext |
0060
0061
0062
0063
0064
0065
0066
|
| id | umjimathkievua-article-4921 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:35Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4b/83c2c88ed8ae4c2946db1ebcd966bf4b.pdf |
| spelling | umjimathkievua-article-49212020-03-18T21:17:16Z Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay Коэффициентные условия асимптотической устойчивости решений систем линейных разностных уравнений с непрерывным временем и запаздыванием Kaiser, C. Korenevsky, D. G. Кайзер, К. Кореневский, Д. Г. Кайзер, К. Кореневский, Д. Г. We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays). Встановлено достатні алгебраїчні коефіцієнтні умови асимптотичної стійкості розв'язків лінійних різницевих рівнянь з неперервним часом і запізненням у випадку раціональног о співвідношення між запізненнями. Використовується $(n^2 + m)$-параметрична функція Ляпунова ($n$ — розмірність системи рівнянь, $m$ — кількість запізнень). Institute of Mathematics, NAS of Ukraine 1998-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4921 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 4 (1998); 516–522 Український математичний журнал; Том 50 № 4 (1998); 516–522 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4921/6541 https://umj.imath.kiev.ua/index.php/umj/article/view/4921/6542 Copyright (c) 1998 Kaiser C.; Korenevsky D. G. |
| spellingShingle | Kaiser, C. Korenevsky, D. G. Кайзер, К. Кореневский, Д. Г. Кайзер, К. Кореневский, Д. Г. Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title | Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title_alt | Коэффициентные условия асимптотической устойчивости решений систем линейных разностных уравнений с непрерывным временем и запаздыванием |
| title_full | Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title_fullStr | Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title_full_unstemmed | Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title_short | Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| title_sort | coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4921 |
| work_keys_str_mv | AT kaiserc coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT korenevskydg coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT kajzerk coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT korenevskijdg coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT kajzerk coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT korenevskijdg coefficientconditionsfortheasymptoticstabilityofsolutionsofsystemsoflineardifferenceequationswithcontinuoustimeanddelay AT kaiserc koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem AT korenevskydg koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem AT kajzerk koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem AT korenevskijdg koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem AT kajzerk koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem AT korenevskijdg koéfficientnyeusloviâasimptotičeskojustojčivostirešenijsistemlinejnyhraznostnyhuravnenijsnepreryvnymvremenemizapazdyvaniem |