Summation inequality and its application to stability analysis for time‐delay systems. Issue 4 (1st February 2016)

• Record Type: Journal Article
• Authors: Chen, Jun; Lu, Junwei; Xu, Shengyuan
• Is Part Of: IET control theory & applications. Volume 10:Issue 4(2016)
• Page Start: 391
• Page End: 395
• Publication Date: 2016-02-01
• Subjects: stability criteria -- delay systems -- linear matrix inequalities -- discrete time systems -- time‐varying systems; stability analysis -- time‐delay systems -- free‐matrix‐based summation inequality -- stability criteria -- discrete‐time systems -- time‐varying delays; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0576
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.