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Доповіді НАН України. – 2007. – N 10. – С. 44–49.
Исследование структуры множества линейных БПИ-автоматов над кольцом Zpk
В.В. Скобелев
Abstract
For linear information-lossless automata over the ring Zpk, we
have established conditions and
estimated cardinalities for sets of automata characterized via
basic characteristics of automata
theory (the transition graph is complete with a loop at each
vertex, permutation and reduced
automata, automata with twin states). For the investigated automata,
a criterion of equivalence
is established, the problem of parametric identification is resolved,
and the canonical presentations,
in which all linear transformation are reduced to component-wise
multiplication in the ring and to
the application of reversible matrices, are designed.
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