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Observer-based controller design of time-delay systems with an interval time-varying delay

Mai Viet ThuanVu Ngoc PhatHieu Trinh — 2012

International Journal of Applied Mathematics and Computer Science

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. 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...

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