Parlakçi, M.-N.A.2024-07-182024-07-182006142440210797814244021060743-1619https://hdl.handle.net/11411/66982006 American Control Conference -- 14 June 2006 through 16 June 2006 -- Minneapolis, MN -- 69440This paper investigates the robust stability for systems with time-varying delay. An improved linear matrix inequality (LMI) based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. We construct a new class of Lyapunov-Krasovskii functionals combined with the descriptor model transformation to derive some delay-dependent stability criteria. The proposed method gives sufficient conditions for the robust stability of the system with time-varying delay under norm-bounded uncertainty. Numerical examples indicate that the proposed stability criteria effectively improves the existing results. © 2006 IEEE.eninfo:eu-repo/semantics/closedAccessContinuous Time SystemsControl System StabilityLinear Matrix İnequalitiesLyapunov FunctionsRobustness (Control Systems)Uncertain SystemsState VectorsTime Varying DelaysTime Varying Control SystemsConference Object2-s2.0-340471981481534N/A15292006