Abstract
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.
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© 1991 Birkhäuser Boston
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Fliess, M. (1991). A fundamental result on the invertibility of discrete time dynamics. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_18
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_18
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