TY - GEN
T1 - On stability of linear systems with time-varying delay
AU - Meng, Haofei
AU - Kang, Yu
AU - Zhai, Dihua
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Delay-dependent Stability
KW - Linear Matrix Inequality(LMI)
KW - Lyapunov-Krasovskii Functionals(LKFs)
KW - Piecewise Analysis Method(PAM)
KW - Time-varying Delay
UR - http://www.scopus.com/inward/record.url?scp=84873554035&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84873554035
SN - 9789881563811
T3 - Chinese Control Conference, CCC
SP - 1499
EP - 1504
BT - Proceedings of the 31st Chinese Control Conference, CCC 2012
T2 - 31st Chinese Control Conference, CCC 2012
Y2 - 25 July 2012 through 27 July 2012
ER -