Open AccessSummation inequality and its application to stability analysis for time‐delay systems
Author(s) -
Chen Jun,
Lu Junwei,
Xu Shengyuan
Publication year - 2016
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.2015.0576
Subject(s) - mathematics , stability (learning theory) , inequality , control theory (sociology) , discrete time and continuous time , linear matrix inequality , computer science , mathematical optimization , mathematical analysis , control (management) , statistics , machine learning , artificial intelligence
This study proposes a new summation inequality, called the free‐matrix‐based summation inequality, which further extends certain existing summation inequalities in the literature. Less conservative stability criteria are proposed for discrete‐time systems with time‐varying delays. Numerical examples are provided to demonstrate the improvement of the proposed approach.