Category theory of structural sets with application to mathematical modelling and systems analysis

AbstractThe extension of N. Bourbaki's structural sets theory is suggested as an effective method for mathematical modelling. Canonical morphisms are introduced for structures of given species. Structural sets and their canonical morphisms constitute the category of a given structure. These constructions permit applications of effective algebraic methods of category theory to analysis of models. The methods developed in the article are applied to the systems theory suggested by author previously. Some results of the systems theory are presented. Applications of the developed methods are demonstrated in examples-a simplified hospital system, for instance