Abstract
It is possible to register input and output signals of a continuous-time system only at fixed time moments, separated at least by step h > 0. The following problem arises naturally: does the obtained information allow us to restore the original continuous-time system uniquely? Theoretically, it is possible to solve this problem, tending h > 0 to zero. However, the value of parameter h depends on technical possibilities, and it is important to solve this problem for fixed values of the parameter h > 0. In this paper, we prove that it is possible to organize the passage to the discrete-time system lossless of information by a suitable choice of input continuous-time signals. It is desirable, of course, that the obtained discrete-time system would have a bounded transfer function. We obtain conditions on continuous-time system providing the above-formulated property. Bibliography: 5 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 303, 2003, pp. 71–88.
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Vagharshakyan, A. Relations Between Discrete and Continuous-Time Systems. J Math Sci 129, 3966–3976 (2005). https://doi.org/10.1007/s10958-005-0332-7
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DOI: https://doi.org/10.1007/s10958-005-0332-7