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In the first part of the paper, we prove a generalization of the classical Poincare-Miranda theorem to the case of a denumerable set of continuous functions of denumerable number of variables. The second part of the paper concerns the controllability of nonlinear repetitive processes. First, we formulate a theorem on the existence of a unique solution to such process and theorem on the continuous...
In the paper sufficient conditions for the controllability to the interval of two-dimensional continuous Roesser system and one-dimensional continuous system are proved. The idea of proof is based on applying a lemma which is a multidimensional version of Bolzano-Poincare theorem.
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