Abstract
The paper deals with the analysis of discrete event dynamic systems (TEDS) using so-called nonhomogenecua elements for the representation of system attributes and their behaviour. Definitions of fundamental notions (nonhomogeneous vector, matrix) are given and algebraic structures are introduced on the seta of nonhomogeneous elements by means of proper binary relations. Also a special concatenation-like “dissociative” operation is defined which allows to establish “superstructures” on the sets of nonhomogeneous elements containing dissociatively binded terms and having the semigroup structural properties. Further a definition of vector transformation as well as that of multitransformation enable to generate new vectors and new binded terma. An example of manufacturing process modelling is included to illustrate that the nonhomogeneous elements are well suited for the description of DEES, and lend themselves particularly well to monitoring and control in complex man-machine systems.
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