Title :
Further results on stability criteria for linear systems with time-varying delay
Author :
Sun, Jian ; Liu, G.P. ; Che, Jie
Author_Institution :
Dept. of Autom. Control, Beijing Inst. of Technol., Beijing
Abstract :
The issue of stability of linear systems with time-varying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler´s lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; linear systems; stability criteria; time-varying systems; Finsler lemma; Lyapunov functional; linear matrix inequality; linear system; stability criteria; time-varying delay; triple integral term; Automatic control; Delay estimation; Delay systems; Information science; Laboratories; Linear matrix inequalities; Linear systems; Stability criteria; Symmetric matrices; Time varying systems; Finsler´s lemma; Time-varying delay; delay dependent stability; linear matrix inequality (LMI);
Conference_Titel :
Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-2383-5
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2008.4811710
