Homogeneous discrete-time approximation

Tonametl Sanchez (1) , Denis Efimov (1) , Andrey Polyakov (1) , Jaime Moreno

1 VALSE - Finite-time control and estimation for distributed systems

In this paper we study some stability properties of discrete-time systems whose transition map can be approximated by a discrete-time homogeneous transition map. This allows us to identify qualitative stability properties of discrete-time systems by only knowing the discrete-time homogeneity degree of its approximation. We show how these results can be applied to the stability analysis of discrete-time systems obtained by means of the explicit and implicit Euler discretization methods.

Mots clés: Nonlinear systems; homogeneous systems; discrete-time systems

Domaines: Automatique; Systèmes dynamiques [math.DS]; Automatique / Robotique

Tonametl Sanchez, Denis Efimov, Andrey Polyakov, Jaime Moreno. Homogeneous discrete-time approximation. 2019. ⟨hal-01990132⟩