Fliess, Michel A fundamental result on the invertibility of discrete time dynamics. (English) Zbl 0789.93095 Bonnard, Bernard (ed.) et al., Analysis of controlled dynamical systems. Proceedings of a conference held in Lyon, France, July 1990. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 8, 211-223 (1991). Summary: A causal discrete time system associated with a difference equation can always be realized with an invertible dynamics. This property, which is the analogue of the one-parameter group associated with a differential system, is obtained via methods stemming from difference algebra. Some consequences are investigated for linear systems, especially the constant case.For the entire collection see [Zbl 0773.00014]. Cited in 4 Documents MSC: 93C55 Discrete-time control/observation systems 93C15 Control/observation systems governed by ordinary differential equations Keywords:causal discrete time system; invertible dynamics PDFBibTeX XMLCite \textit{M. Fliess}, in: Analysis of controlled dynamical systems. Proceedings of a conference held in Lyon, France, July 1990. Boston, MA: Birkhäuser. 211--223 (1991; Zbl 0789.93095)