The problem of computation of initial conditions and inputs for given outputs of fractional standard and positive discrete-time linear systems is formulated and solved. Necessary and sufficient conditions for existence of solution to the problem are established. It is shown that there exist the unique solutions to the problem only if the pair (A, C) of the system is observable.
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In the present paper we consider a problem for the system of hyperbolic equations of the first order with periodic conditions and without initial conditions. Some conditions for uniqueness and existence of solution for this problem are given.
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