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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Main Authors: Kuo-Liang Yen, Kuo-Shong Wang, Yau-Tarng Juang
Format: Article
Language:English
Published: Wiley 2015-01-01
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