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Stabilization of Linear Input Delayed Dynamics Under Sampling

Abstract : For continuous-time linear time-invariant systems with an arbitrarily large constant pointwise delay in the inputs, we propose a new construction of exponentially stabilizing sampled control laws. Stability is achieved under an assumption on the size of the largest sampling interval. The proposed design is based on an adaptation of the two main results of the reduction model approach. The stability of the closed loop systems is proved through a Lyapunov functional of a new type.
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https://hal.inria.fr/hal-00760089
Contributor : Frederic Mazenc <>
Submitted on : Monday, December 3, 2012 - 2:23:05 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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  • HAL Id : hal-00760089, version 1

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Frédéric Mazenc, Dorothée Normand-Cyrot. Stabilization of Linear Input Delayed Dynamics Under Sampling. 51th IEEE Conference on Decision and Control, Dec 2012, Mauii, Hawaii, United States. pp.7523-7528. ⟨hal-00760089⟩

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