Reachability in linear dynamical systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2008

Reachability in linear dynamical systems

Abstract

Dynamical systems allow to modelize various phenomena or processes by only describing their local behaviour. It is however useful to understand the behaviour in a more global way. Checking the reachability of a point for example is a fundamental problem. In this document we will show that this problem that is undecidable in the general case is in fact decidable for a natural class of continuous-time dynamical systems: linear systems. For this, we will use results from the algebraic numbers theory such as Gelfond-Schneider's theorem.
Fichier principal
Vignette du fichier
dynsys_hal.pdf (163.82 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

inria-00202674 , version 1 (07-01-2008)
inria-00202674 , version 2 (16-04-2008)

Identifiers

Cite

Emmanuel Hainry. Reachability in linear dynamical systems. Computability in Europe, Jun 2008, Athènes, Greece. pp.241-250, ⟨10.1007/978-3-540-69407-6_28⟩. ⟨inria-00202674v2⟩
101 View
479 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More