Open AccessRobust stability criterion of fractional‐order functions for interval fractional‐order systems
Author(s) -
Gao Zhe,
Liao Xiaozhong
Publication year - 2013
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.2011.0356
Subject(s) - control theory (sociology) , interval (graph theory) , mathematics , order (exchange) , stability (learning theory) , fractional order system , fractional calculus , mathematical optimization , computer science , control (management) , combinatorics , artificial intelligence , finance , machine learning , economics
This study presents a sufficient and necessary stability condition for the stability of interval fractional‐order systems. An effective constructive method of the value set on the disturbance function of an interval fractional‐order system is investigated to reduce the burden of computations for the redundant vertices and edges. Based on the zero exclusion principle, a test function and terminal conditions are proposed to verify the stability of interval fractional‐order systems. Finally, a numerical example is given to illustrate the effectiveness of this proposed stability theorem.