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On finite-time stabilization of a class of nonlinear time-delay systems: Implicit Lyapunov-Razumikhin approach

Abstract : Theorems on Implicit Lyapunov-Razumikhin functions (ILRF) for asymptotic, exponential, finite-time and nearly fixed-time stability analysis of nonlinear time-delay systems are presented. Based on these results, finite-time stabilization of a special class of such systems is addressed. These systems are represented by a chain of integrators with a time-delay term multiplied by a function of instantaneous state vector. Possible explicit restriction on nonlinear time-delay terms is discussed. Simple procedure of control parameters calculation is given in terms of linear matrix inequalities (LMIs). Some aspects of digital implementations of the presented nonlinear control law are touched upon. Theoretical results are illustrated by numerical simulations.
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https://hal.inria.fr/hal-02942412
Contributor : Denis Efimov <>
Submitted on : Thursday, September 17, 2020 - 6:22:18 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:15 PM

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Artem Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor Furtat. On finite-time stabilization of a class of nonlinear time-delay systems: Implicit Lyapunov-Razumikhin approach. 59th IEEE CDC 2020 - Conference on Decision and Control, Dec 2020, Jeju Island / Virtual, South Korea. ⟨hal-02942412⟩

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