@inproceedings{eb746538a7d84f82b3f59551e3d81d0e,
title = "The stability of saturated linear dynamical systems is undecidable",
abstract = "We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are undecidable. Such results had been known only for point-to-point properties. We prove these proper- ties undecidable for saturated linear dynamical systems, and for con- tinuous piecewise a fine dynamical systems in dimension three. We also describe some consequences of our results on the possible dynamics of such systems.",
author = "Blondel, \{Vincent D.\} and Olivier Bournez and Pascal Koiran and Tsitsiklis, \{John N.\}",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2000.; 17th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2000 ; Conference date: 17-02-2000 Through 19-02-2000",
year = "2000",
month = jan,
day = "1",
doi = "10.1007/3-540-46541-3\_40",
language = "English",
isbn = "9783540671411",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "479--490",
editor = "Horst Reichel and Sophie Tison",
booktitle = "STACS 2000 - 17th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2000, Proceedings",
}