Tonametl Sanchez Ramirez1, Denis Efimov2, Andrey Polyakov3, Jaime A. Moreno1
11:00 - 11:20 | Wed 4 Sep | Room FH 1 | WeB1.4
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.