A homogeneity property of a class of discrete-time systems

Tonametl Sanchez 1 Denis Efimov 2 Andrey Polyakov 2 Jaime Moreno 1 Wilfrid Perruquetti 2
2 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : In this paper we study a dynamic property of a class of discrete-time systems. Such a property, that we call discrete-homogeneity, is verifiable algebraically in the transition map of the system. Discrete-homogeneity allows to establish stability features of the system by considering only the discrete-homogeneity degree. Such stability properties are studied by means of Lyapunov and Lyapunov-like functions.
Document type :
Conference papers
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.inria.fr/hal-01611972
Contributor : Denis Efimov <>
Submitted on : Friday, October 6, 2017 - 1:29:33 PM
Last modification on : Friday, March 22, 2019 - 1:34:40 AM
Long-term archiving on: Monday, January 8, 2018 - 11:57:05 AM

File

CDC17_0502_FIp.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01611972, version 1

Citation

Tonametl Sanchez, Denis Efimov, Andrey Polyakov, Jaime Moreno, Wilfrid Perruquetti. A homogeneity property of a class of discrete-time systems. 56th IEEE Conference on Decision and Control (CDC), Dec 2017, Melbourne, Australia. ⟨hal-01611972⟩

Share

Metrics

Record views

328

Files downloads

404