Open AccessImproved negativity condition for a quadratic function and its application to systems with time‐varying delay
Author(s) -
Zeng HongBing,
Lin HuiChao,
He Yong,
Zhang ChuanKe,
Teo KokLay
Publication year - 2020
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.2019.1464
Subject(s) - control theory (sociology) , negativity effect , quadratic equation , stability (learning theory) , mathematics , function (biology) , computer science , control (management) , artificial intelligence , psychology , social psychology , geometry , evolutionary biology , biology , machine learning
This article studies the stability problems of linear systems with time‐varying delay. An improved negativity condition for a quadratic function parameterised by time‐varying delay is derived. Based on this condition, less conservative stability criteria are obtained. Through two well‐known numerical examples, it is proved that the proposed method can reduce the conservativeness of the computed results.