Lyapunov-Krasovskii Functionals and Application to Input Delay Compensation for Linear Time-Invariant Systems.

Frederic Mazenc 1, 2 Silviu-Iulian Niculescu 1, 2 Miroslav Krstic 3
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
3 UCSD - Department of Mechanical and Aerospace Engineering [San Diego]
Abstract : For linear systems with pointwise or distributed delays in the inputs which are stabilized through the reduction approach, we propose a new technique of construction of Lyapunov-Krasovskii functionals. These functionals allow us to establish the ISS property of the closed-loop systems relative to additive disturbances.
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https://hal.inria.fr/hal-00761591
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, December 5, 2012 - 5:05:45 PM
Last modification on : Wednesday, August 7, 2019 - 12:18:06 PM

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Frederic Mazenc, Silviu-Iulian Niculescu, Miroslav Krstic. Lyapunov-Krasovskii Functionals and Application to Input Delay Compensation for Linear Time-Invariant Systems.. Automatica, Elsevier, 2012. ⟨hal-00761591⟩

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