Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method
We solve the problem of global stabilization in finite time for a general class of triangular multi-input and multi-output systems with singular input-output links. In order to obtain the main result of the work, we combine the controllability function method (which works locally, around the equilib...
Збережено в:
| Дата: | 2012 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/175596 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method / V.I. Korobov, S.S. Pavlichkov, W.H. Schmidt // Нелінійні коливання. — 2012. — Т. 15, № 2. — С. 205-214. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1755962021-02-02T01:28:29Z Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method Korobov, V.I. Pavlichkov, S.S. Schmidt, W.H. We solve the problem of global stabilization in finite time for a general class of triangular multi-input and multi-output systems with singular input-output links. In order to obtain the main result of the work, we combine the controllability function method (which works locally, around the equilibrium only for our class of triangular forms) with a modification of the global construction developed for the generalized triangular form in the singular case in our previous works. Розв’язано задачу глобальної стабiлiзацiї в скiнченний час для загального класу трикутних систем з кiлькома входами i виходами та сингулярними зв’язками мiж входом i виходом. Для отримання основного результату поєднано метод функцiї керованостi (що працює в околi нерухомої точки тiльки для розглядуваного класу трикутних систем) з модифiкацiєю загальної побудови для узагальненої трикутної форми в сингулярному випадку, що розвинута в попереднiх роботах авторiв. 2012 Article Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method / V.I. Korobov, S.S. Pavlichkov, W.H. Schmidt // Нелінійні коливання. — 2012. — Т. 15, № 2. — С. 205-214. — Бібліогр.: 25 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/175596 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We solve the problem of global stabilization in finite time for a general class of triangular multi-input and multi-output systems with singular input-output links. In order to obtain the main result of the work, we combine the controllability function method (which works locally, around the equilibrium only for our class of triangular forms) with a modification of the global construction developed for the generalized triangular form in the singular case in our previous works. |
| format |
Article |
| author |
Korobov, V.I. Pavlichkov, S.S. Schmidt, W.H. |
| spellingShingle |
Korobov, V.I. Pavlichkov, S.S. Schmidt, W.H. Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method Нелінійні коливання |
| author_facet |
Korobov, V.I. Pavlichkov, S.S. Schmidt, W.H. |
| author_sort |
Korobov, V.I. |
| title |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method |
| title_short |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method |
| title_full |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method |
| title_fullStr |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method |
| title_full_unstemmed |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method |
| title_sort |
global positional synthesis and stabilization in finite time of mimo generalized triangular systems by means of the controllability function method |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/175596 |
| citation_txt |
Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method / V.I. Korobov, S.S. Pavlichkov, W.H. Schmidt // Нелінійні коливання. — 2012. — Т. 15, № 2. — С. 205-214. — Бібліогр.: 25 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
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2023-10-18T22:39:12Z |
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2023-10-18T22:39:12Z |
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1796156081650532352 |