Abstract
A linear discrete system x (k +1) = A x (k) with a given set of attainability (c, x( N)) ? c 0 is considered. The influence of small variations of problem parameters on the attainability of a required set is investigated. For the control system x (k+1) = Ax (k) + Bu (k), the choice of a controller as a feedback in state u(k) = Kx (k) is studied.
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