Abstract
We describe classes of linear nonstationary discrete systems that have equal responses to impulse inputs. In each class, we single out the unique simplest representative characterized by the nilpotency property.
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Gaishun, I.V., Sistemy s diskretnym vremenem (Systems with Discrete Time), Minsk, 2001.
Gaishun, I.V., Discrete Output-Equivalent Observation Systems, Differ. Uravn., 2007, vol. 43, no. 7, pp. 914–922.
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Original Russian Text © I.V. Gaishun, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 124–128.
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Gaishun, I.V. Reconstruction of linear nonstationary discrete systems from their response to impulse inputs. Diff Equat 46, 127–131 (2010). https://doi.org/10.1134/S0012266110010131
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DOI: https://doi.org/10.1134/S0012266110010131