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A Consistent Discretisation method for Stable Homogeneous Systems based on Lyapunov Function

Tonametl Sanchez 1 Andrey Polyakov 2 Denis Efimov 2
1 IPICYT - Instituto Potosino de Investigacion Cientifica y Tecnologica
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : In this paper we propose a discretisation scheme for continuous and asymptotically stable homogeneous systems. This method is based on the dynamics of the system projected on a level surface of a homogeneous Lyapunov function. The discretisation method is explicit and preserves the convergence rate of the continuous-time system.
Keywords : Nonlinear systems discrete-time systems homogeneous systems
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https://hal.inria.fr/hal-02614526
Contributor : Andrey Polyakov <>
Submitted on : Thursday, May 21, 2020 - 7:16:35 AM
Last modification on : Monday, December 14, 2020 - 5:58:12 PM

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  • HAL Id : hal-02614526, version 1

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Tonametl Sanchez, Andrey Polyakov, Denis Efimov. A Consistent Discretisation method for Stable Homogeneous Systems based on Lyapunov Function. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02614526⟩

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