Abstract
Framed neighborhood structures are digraphs with variables associated with vertices or arcs. These structures are a convenient tool of formalizing the technological scheme of the simulated process: the mathematical model of the process is a static or dynamic neighborhood system associated with a framed neighborhood structure. In the article, we define the arboreous (tree-like) neighborhood structures and the corresponding arboreous neighborhood systems. These structures and systems can be considered as one of the possible versions of the general concept of a hierarchical control system. The problems of parametric identification of equations and synthesizing regulators for arboreous neighborhood systems are discussed. It is proved that for arboreous systems, the connections available in the underlying arboreous structure are always sufficient for the synthesis of stabilizing regulators.
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