Title :
On stability of linear systems with time-varying delay
Author :
Haofei, Meng ; Yu, Kang ; Dihua, Zhai
Author_Institution :
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
This paper is concerned with the stability analysis of linear systems with time-varying delay in a given range. We construct different Lyapunov functionals when the time-varying delay belongs to different intervals. Combined with the piece-wise analysis method and the convexity properties of matrix inequality, some new criteria are derived in terms of linear matrix inequalities. Some numerical examples show the effectiveness of the derived criteria.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; linear systems; stability; Lyapunov functionals; convexity property; linear matrix inequalities; linear system stability analysis; piecewise analysis method; time-varying delay; Delay; Delay effects; Linear matrix inequalities; Stability criteria; Time varying systems; Upper bound; Delay-dependent Stability; Linear Matrix Inequality(LMI); Lyapunov-Krasovskii Functionals(LKFs); Piecewise Analysis Method(PAM); Time-varying Delay;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
