Switched Convergence of Second-Order Switched Homogeneous Systems
This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial co...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/472430 |
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| _version_ | 1832565495767760896 |
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| author | Carmen Pérez Francisco Benítez |
| author_facet | Carmen Pérez Francisco Benítez |
| author_sort | Carmen Pérez |
| collection | DOAJ |
| description | This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results. |
| format | Article |
| id | doaj-art-2c717c7225d54e2991e34289055764d4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2c717c7225d54e2991e34289055764d42025-02-03T01:07:27ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/472430472430Switched Convergence of Second-Order Switched Homogeneous SystemsCarmen Pérez0Francisco Benítez1Department of Mathematics, University of Cádiz, Campus of Puerto Real, 11510 Puerto Real, SpainDepartment of Mathematics, University of Cádiz, Campus of Puerto Real, 11510 Puerto Real, SpainThis paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results.http://dx.doi.org/10.1155/2013/472430 |
| spellingShingle | Carmen Pérez Francisco Benítez Switched Convergence of Second-Order Switched Homogeneous Systems Abstract and Applied Analysis |
| title | Switched Convergence of Second-Order Switched Homogeneous Systems |
| title_full | Switched Convergence of Second-Order Switched Homogeneous Systems |
| title_fullStr | Switched Convergence of Second-Order Switched Homogeneous Systems |
| title_full_unstemmed | Switched Convergence of Second-Order Switched Homogeneous Systems |
| title_short | Switched Convergence of Second-Order Switched Homogeneous Systems |
| title_sort | switched convergence of second order switched homogeneous systems |
| url | http://dx.doi.org/10.1155/2013/472430 |
| work_keys_str_mv | AT carmenperez switchedconvergenceofsecondorderswitchedhomogeneoussystems AT franciscobenitez switchedconvergenceofsecondorderswitchedhomogeneoussystems |