Title :
New stability criteria for linear systems with interval time-varying delay
Author :
Bing Li ; Junfeng Wu
Author_Institution :
Sch. of Autom., Harbin Univ. of Sci. & Technol., Harbin, China
Abstract :
In this paper, we investigate the stability criteria for linear systems with interval time-varying delay. By constructing novel Lyapunov-Krasovskii functionals (LKF) based on delay partitioning idea and delay-central point method, new less conservative stability criteria are provided in terms of linear matrix inequalities (LMIs). Tighter integral inequalities are used to bound the cross-terms that arise from the time derivative of the Lyapunov-Krasovskii functionals to obtain much less conservative result. A given numerical example illustrates the effectiveness of the presented methods.
Keywords :
Lyapunov methods; delays; integration; linear matrix inequalities; linear systems; stability criteria; time-varying systems; LKF; LMI; Lyapunov-Krasovskii functionals; delay partitioning; delay-central point method; integral inequalities; interval time-varying delay; linear matrix inequalities; linear systems; stability criteria; time derivative; Interval time-varying delay; Linear continuous-time systems; Stability criteria;
Conference_Titel :
Measurement, Information and Control (ICMIC), 2013 International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4799-1390-9
DOI :
10.1109/MIC.2013.6758144