Homogeneous Discrete-Time Approximation. Issue 16 (2019)

• Record Type: Journal Article
• Authors: Sanchez, Tonametl; Efimov, Denis; Polyakov, Andrey; Moreno, Jaime A.
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 16(2019)
• Page Start: 19
• Page End: 24
• Publication Date: 2019
• Subjects: Nonlinear systems -- discrete-time systems -- homogeneous systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.11.749
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.