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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Bibliographic Details
Published in:Journal of Applied Mathematics 2015, Vol.2015 (2015), p.1028-1031-098
Main Authors: Yen, Kuo-Liang, Juang, Yau-Tarng, Wang, Kuo-Shong
Format: Article
Language:English
Subjects:
Closed loop systems
Conics
Design engineering
Illustrations
Linear programming
Linear systems
Mathematical models
Mathematical research
Robustness
Stability
Stabilization
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Summary: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2015/861014