@misc{Thuan_Mai_Viet_Observer-based, author={Thuan, Mai Viet and Phat, Vu Ngoc and Trinh, Hieu}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds.}, abstract={The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov?Krasovskii functionals and utilizing the Newton?Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed ?-convergence rate.}, abstract={The design of an observer-based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.}, type={artykuł}, title={Observer-based controller design of time-delay systems with an interval time-varying delay}, keywords={observer-based feedback control, interval time-varying delay, linear matrix inequalities, Lyapunov-Krasovskii functionals, exponential stability}, }