Open AccessAsymptotical stability of fractional order systems with time delay via an integral inequality
Author(s) -
He BinBin,
Zhou HuaCheng,
Chen YangQuan,
Kou ChunHai
Publication year - 2018
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.2017.1144
Subject(s) - mathematics , stability (learning theory) , order (exchange) , inequality , stability theory , control theory (sociology) , mathematical analysis , control (management) , computer science , nonlinear system , finance , machine learning , artificial intelligence , economics , physics , quantum mechanics
In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case. Based on the generalised Halanay inequality, the authors establish several asymptotical stability conditions under which the fractional order systems with time delay are asymptotically stable. It is worth to note that these stability conditions are easy to check without resorting to the solution expression of the systems.