TY - GEN
T1 - A convex optimization approach to stability of systems with uncertain delays
AU - Fridman, Emilia
AU - Shaked, Uri
AU - Liu, Kun
PY - 2009
Y1 - 2009
N2 - In this paper we develop a convex optimization approach to stability analysis of linear systems with interval time-varying delay, by using the standard and the delay-partitioning-based Lyapunov-Krasovskii Functionals (LKFs). We introduce novel LKFs with matrices that depend on the time-delays. These functionals allow the derivation of the condition for stability, which depend on both, the upper and the lower bounds on delay derivatives. A numerical example is given which illustrates the efficiency of the new stability criteria.
AB - In this paper we develop a convex optimization approach to stability analysis of linear systems with interval time-varying delay, by using the standard and the delay-partitioning-based Lyapunov-Krasovskii Functionals (LKFs). We introduce novel LKFs with matrices that depend on the time-delays. These functionals allow the derivation of the condition for stability, which depend on both, the upper and the lower bounds on delay derivatives. A numerical example is given which illustrates the efficiency of the new stability criteria.
KW - LMI
KW - Lyapunov-Krasovskii functional
KW - Time-varying delay
UR - https://www.scopus.com/pages/publications/80051487218
U2 - 10.3182/20090616-3-IL-2002.0049
DO - 10.3182/20090616-3-IL-2002.0049
M3 - Conference contribution
AN - SCOPUS:80051487218
SN - 9783902661456
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 208
EP - 213
BT - ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings
T2 - 6th IFAC Symposium on Robust Control Design, ROCOND'09
Y2 - 16 June 2009 through 18 June 2009
ER -