Open AccessResults on stability of linear systems with time varying delay
Author(s) -
Liu Yajuan,
H. Park Ju,
Guo BaoZhu
Publication year - 2017
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.2016.0634
Subject(s) - stability (learning theory) , control theory (sociology) , mathematics , quadratic equation , inequality , stability criterion , integral equation , computer science , mathematical analysis , control (management) , discrete time and continuous time , artificial intelligence , machine learning , statistics , geometry
The integral inequality approach has been widely used to obtain delay‐dependent stability criteria for dynamic systems with delays, and finding integral inequalities for quadratic functions hence plays a key role in reducing conservatism of corresponding stability conditions. In this study, an improved integral inequality which covers several well‐known integral inequalities is introduced, and improves thereby stability for linear systems with time‐varying delay. Three numerical examples are given to demonstrate the effectiveness and superiority of the proposed method.