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- W2617394356 abstract "The paper shows that the global exponential stability property is preserved, under suitably fast sampling and small input-delay, whenever the dynamics of the time-delay system at hand and the related stabilizing (in continuous-time) state feedback are described by globally Lipschitz maps. The Halanay’s inequality is used in order to prove this result. Continuous-time, possibly non-affine in the control, state-delay systems are considered. The knowledge of a Lyapunov–Krasovskii functional for the continuous-time closed-loop system is not required, as long as this system is globally exponentially stable. The knowledge of a Lipschitz Lyapunov–Krasovskii functional allows for an estimation of the sampling period that preserves the exponential stability, as well as of the decay rate." @default.
- W2617394356 created "2017-06-05" @default.
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- W2617394356 date "2017-08-01" @default.
- W2617394356 modified "2023-10-11" @default.
- W2617394356 title "On global exponential stability preservation under sampling for globally Lipschitz time-delay systems" @default.
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- W2617394356 doi "https://doi.org/10.1016/j.automatica.2017.04.055" @default.
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