Parlakçi, M.N.A.Küçükdemiral, I.B.2024-07-182024-07-18201097839026617151474-6670https://doi.org/10.3182/20100607-3-cz-4010.00039https://hdl.handle.net/11411/6527International Federation of Automatic Control (IFAC);Technical Committee on Control Design;Technical Committee on Linear Control Systems;Technical Committee on Networked Systems;Technical Committee on Nonlinear Systems;Technical Committee on Robust Control9th IFAC Workshop on Time Delay Systems, TDS 2010 -- 7 June 2010 through 9 June 2010 -- Prague -- 94469In this paper, we investigate the design problem of a stabilizing control for a class of linear uncertain time-delay systems with time-varying state and input delays. The control law is selected to be a state-feedback controller. Adopting to employ an augmented type of Lyapunov-Krasovskii functional, for the nominal case, we first derive some sufficient delay dependent stabilization criteria which can be solved using a convex optimization technique with interior-point algorithms. The stabilization synthesis is then extended to the case when the time-delay system is subject to the norm-bounded uncertainties which affect state and input matrices. Several numerical examples are presented to demonstrate the application of the proposed synthesis of a stabilizing controller. The numerical results on the maximum allowable delay bound and the uncertainty bound seem to be quite less conservative in comparison to the existing methods from the literature.eninfo:eu-repo/semantics/openAccessInput DelayNorm-Bounded UncertaintyStabilityStabilizationState DelayControllersConvergence Of Numerical MethodsConvex OptimizationLyapunov FunctionsNonlinear Control SystemsNumerical MethodsStabilizationState FeedbackTime DelayTiming CircuitsConvex Optimization TechniquesDelay-Dependent StabilizationInput DelaysLyapunov-Krasovskii FunctionalsMaximum Allowable Delay BoundNorm-Bounded UncertaintyState DelayUncertain Time-Delay SystemDelay Control SystemsConference Object2-s2.0-8487137552610.3182/20100607-3-cz-4010.000392172 PART 1N/A21243