Title :
On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems
Author :
Xu, Shengyuan ; Lam, James
Author_Institution :
Dept. of Autom., Nanjing Univ. of Sci. & Technol.
Abstract :
In recent years, there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature. This note aims to theoretically establish the equivalence of seven of these stability criteria. Moreover, the efficiency of these stability criteria is assessed based on the number of unknowns in the linear matrix inequalities
Keywords :
delays; linear matrix inequalities; stability criteria; delay-dependent stability criteria; linear matrix inequality; time-delay system; Automation; Control systems; Delay systems; Educational programs; Linear matrix inequalities; Mechanical engineering; Stability analysis; Stability criteria; Symmetric matrices; Delay-dependent condition; stability; time-delay systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.886495
