Open AccessRobust finite‐time stability and stabilisation of switched positive systems
Author(s) -
Zhang Junfeng,
Han Zhengzhi,
Wu Hai
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0512
Subject(s) - control theory (sociology) , stability (learning theory) , computer science , mathematics , control (management) , artificial intelligence , machine learning
This study is concerned with robust finite‐time stability and stabilisation of a class of switched positive systems. By using the multiple linear copositive Lyapunov function approach, sufficient conditions of finite‐time stability and finite‐time boundedness are constructed, respectively. l 1 ‐gain is used to analyse the disturbance attenuation performance of the systems, and a finite‐time weighted l 1 ‐gain is obtained under bounded exogenous disturbances. Then, the problem of robust finite‐time stabilisation of non‐autonomous systems with a weighted l 1 ‐gain is solved. All the proposed conditions are formulated in linear programming. Finally, two illustrative examples are given to show the validity of the theoretical results.