Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays
This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Ta...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/954782 |
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| _version_ | 1832552420654186496 |
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| author | Tianjian Yu Yanke Zhong Tefang Chen Chunyang Chen |
| author_facet | Tianjian Yu Yanke Zhong Tefang Chen Chunyang Chen |
| author_sort | Tianjian Yu |
| collection | DOAJ |
| description | This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results. |
| format | Article |
| id | doaj-art-3c55e26609fd4073a94070f47e504ad9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3c55e26609fd4073a94070f47e504ad92025-02-03T05:58:45ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/954782954782Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying DelaysTianjian Yu0Yanke Zhong1Tefang Chen2Chunyang Chen3School of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Traffic and Transportation Engineering, Central South University, Changsha 410075, ChinaThis paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results.http://dx.doi.org/10.1155/2015/954782 |
| spellingShingle | Tianjian Yu Yanke Zhong Tefang Chen Chunyang Chen Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays |
| title_full | Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays |
| title_fullStr | Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays |
| title_full_unstemmed | Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays |
| title_short | Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays |
| title_sort | finite time stabilization of uncertain switched positive linear systems with time varying delays |
| url | http://dx.doi.org/10.1155/2015/954782 |
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