Stabilizability of oscillatory systems: a classical approach supported by symbolic computation
<p><span style="font-style: normal;">In this paper we study the stabilization of planar single-input non-linear systems, whose linearization at the origin has purely immaginary eigenvalues. A classical recursive procedure based on polar coordinates transformation is applied to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1990-11-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/674 |
| _version_ | 1818370450545180672 |
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| author | Andrea Bacciotti Paolo Boieri |
| author_facet | Andrea Bacciotti Paolo Boieri |
| author_sort | Andrea Bacciotti |
| collection | DOAJ |
| description | <p><span style="font-style: normal;">In this paper we study the stabilization of planar single-input non-linear systems, whose linearization at the origin has purely immaginary eigenvalues. A classical recursive procedure based on polar coordinates transformation is applied to obtain some sufficient conditions. Then we focus on bilinear systems; a complete solution of the problem is given in this case.</span></p> <p><span style="font-style: normal;">Explicit statements of the conditions are possible thanks to the use of symbolic computation packages.</span></p> |
| first_indexed | 2024-12-13T23:39:56Z |
| format | Article |
| id | doaj.art-6e89cbac5166422e850aec31c1eb380e |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-13T23:39:56Z |
| publishDate | 1990-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-6e89cbac5166422e850aec31c1eb380e2022-12-21T23:27:12ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981990-11-01452319335641Stabilizability of oscillatory systems: a classical approach supported by symbolic computationAndrea BacciottiPaolo Boieri<p><span style="font-style: normal;">In this paper we study the stabilization of planar single-input non-linear systems, whose linearization at the origin has purely immaginary eigenvalues. A classical recursive procedure based on polar coordinates transformation is applied to obtain some sufficient conditions. Then we focus on bilinear systems; a complete solution of the problem is given in this case.</span></p> <p><span style="font-style: normal;">Explicit statements of the conditions are possible thanks to the use of symbolic computation packages.</span></p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/674 |
| spellingShingle | Andrea Bacciotti Paolo Boieri Stabilizability of oscillatory systems: a classical approach supported by symbolic computation Le Matematiche |
| title | Stabilizability of oscillatory systems: a classical approach supported by symbolic computation |
| title_full | Stabilizability of oscillatory systems: a classical approach supported by symbolic computation |
| title_fullStr | Stabilizability of oscillatory systems: a classical approach supported by symbolic computation |
| title_full_unstemmed | Stabilizability of oscillatory systems: a classical approach supported by symbolic computation |
| title_short | Stabilizability of oscillatory systems: a classical approach supported by symbolic computation |
| title_sort | stabilizability of oscillatory systems a classical approach supported by symbolic computation |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/674 |
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