Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504306238 |
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| _version_ | 1832562298411024384 |
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| author | Elena Litsyn Marina Myasnikova Yurii Nepomnyashchikh Arcady Ponosov |
| author_facet | Elena Litsyn Marina Myasnikova Yurii Nepomnyashchikh Arcady Ponosov |
| author_sort | Elena Litsyn |
| collection | DOAJ |
| description | We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feedback control. |
| format | Article |
| id | doaj-art-f0a332162ca54f96a948cbb78b02ac4e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f0a332162ca54f96a948cbb78b02ac4e2025-02-03T01:23:05ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004648749910.1155/S1085337504306238Efficient criteria for the stabilization of planar linear systems by hybrid feedback controlsElena Litsyn0Marina Myasnikova1Yurii Nepomnyashchikh2Arcady Ponosov3Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, IsraelDepartment of Mechanics & Mathematics, Perm State University, 15 Bukirev Street, Perm 614990, RussiaDepartment of Mechanics & Mathematics, Perm State University, 15 Bukirev Street, Perm 614990, RussiaInstitutt for Matematiske Fag, Norges Landbrukshøgskole (NLH), Postboks 5035, N-1432 Ås, NorwayWe suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feedback control.http://dx.doi.org/10.1155/S1085337504306238 |
| spellingShingle | Elena Litsyn Marina Myasnikova Yurii Nepomnyashchikh Arcady Ponosov Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls Abstract and Applied Analysis |
| title | Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| title_full | Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| title_fullStr | Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| title_full_unstemmed | Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| title_short | Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| title_sort | efficient criteria for the stabilization of planar linear systems by hybrid feedback controls |
| url | http://dx.doi.org/10.1155/S1085337504306238 |
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