Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition
Under the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/931520 |
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| _version_ | 1850163815842316288 |
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| author | Nengwei Zhang Enbin Zhang Fangzheng Gao |
| author_facet | Nengwei Zhang Enbin Zhang Fangzheng Gao |
| author_sort | Nengwei Zhang |
| collection | DOAJ |
| description | Under the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller is successfully designed, which preserves the equilibrium at the origin and guarantees the global asymptotic stability of the resulting closed-loop system. A simulation example is given to demonstrate the effectiveness of the proposed design procedure. |
| format | Article |
| id | doaj-art-ed7816a6f5dd4f34940f17a93137ac3f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ed7816a6f5dd4f34940f17a93137ac3f2025-08-20T02:22:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/931520931520Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker ConditionNengwei Zhang0Enbin Zhang1Fangzheng Gao2School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaDepartment of Information Engineering, Henan College of Finance and Taxation, Zhengzhou 450002, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang 455000, ChinaUnder the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller is successfully designed, which preserves the equilibrium at the origin and guarantees the global asymptotic stability of the resulting closed-loop system. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.http://dx.doi.org/10.1155/2014/931520 |
| spellingShingle | Nengwei Zhang Enbin Zhang Fangzheng Gao Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition Abstract and Applied Analysis |
| title | Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition |
| title_full | Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition |
| title_fullStr | Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition |
| title_full_unstemmed | Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition |
| title_short | Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition |
| title_sort | global stabilization of high order time delay nonlinear systems under a weaker condition |
| url | http://dx.doi.org/10.1155/2014/931520 |
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