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

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.
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Dates and versions

hal-02614526 , version 1 (21-05-2020)

Identifiers

  • HAL Id : hal-02614526 , version 1

Cite

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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