Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems
This paper deals with the analysis and design of positivity and stability of linear continuous conic systems. First, two robustness analysis theorems are proposed for the systems with state-feedback. Second, the state-feedback stabilization problem is solved by using linear programming (LP). Numeric...
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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2015/861014 |
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author | Kuo-Liang Yen Kuo-Shong Wang Yau-Tarng Juang |
author_facet | Kuo-Liang Yen Kuo-Shong Wang Yau-Tarng Juang |
author_sort | Kuo-Liang Yen |
collection | DOAJ |
description | This paper deals with the analysis and design of positivity and stability of linear continuous conic systems. First, two robustness analysis theorems are proposed for the systems with state-feedback. Second, the state-feedback stabilization problem is solved by using linear programming (LP). Numerical examples are given for illustration. Finally, the conclusions are made. |
format | Article |
id | doaj-art-75590b1bbdf84b0fa8e4243450933fc8 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-75590b1bbdf84b0fa8e4243450933fc82025-02-03T01:01:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/861014861014Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain SystemsKuo-Liang Yen0Kuo-Shong Wang1Yau-Tarng Juang2Mechanical Engineering, National Central University, Taoyuan, Zhongli 320, TaiwanMechanical Engineering, National Central University, Taoyuan, Zhongli 320, TaiwanElectrical Engineering, National Central University, Taoyuan, Zhongli 320, TaiwanThis paper deals with the analysis and design of positivity and stability of linear continuous conic systems. First, two robustness analysis theorems are proposed for the systems with state-feedback. Second, the state-feedback stabilization problem is solved by using linear programming (LP). Numerical examples are given for illustration. Finally, the conclusions are made.http://dx.doi.org/10.1155/2015/861014 |
spellingShingle | Kuo-Liang Yen Kuo-Shong Wang Yau-Tarng Juang Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems Journal of Applied Mathematics |
title | Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems |
title_full | Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems |
title_fullStr | Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems |
title_full_unstemmed | Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems |
title_short | Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems |
title_sort | analysis and design of robust positivity and stability for continuous time linear uncertain systems |
url | http://dx.doi.org/10.1155/2015/861014 |
work_keys_str_mv | AT kuoliangyen analysisanddesignofrobustpositivityandstabilityforcontinuoustimelinearuncertainsystems AT kuoshongwang analysisanddesignofrobustpositivityandstabilityforcontinuoustimelinearuncertainsystems AT yautarngjuang analysisanddesignofrobustpositivityandstabilityforcontinuoustimelinearuncertainsystems |