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Analysis of the Functioning and Structural Decomposing of Special-Purpose Information Systems

Analysis of the Functioning and Structural Decomposing of Special-Purpose Information Systems On the basis of the analysis of the functioning of complex special-purpose information systems, a general approach was proposed to their mathematical modeling and structural decomposition, based on topological constructions using the theory of the final semigroups. The connection between any transformations of a complex system in the finite space of its states and certain valid coordinatization variants is defined for the final semigroups. Various generalized indicators of evaluation of functional structure simplexes, which allowed one to obtain the characteristics of these complexes, have been determined. The proposed method of analysis allowed more objective analysis of the q-connectivity of the simplexes and the observability and controllability of the special-purpose complex information system. Definitions, theorems, and proofs are presented, which allows calculation of the sequence of composition and the integration of the subsystems of a complex system into a single whole. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatic Documentation and Mathematical Linguistics Springer Journals

Analysis of the Functioning and Structural Decomposing of Special-Purpose Information Systems

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Publisher
Springer Journals
Copyright
Copyright © Allerton Press, Inc. 2021. ISSN 0005-1055, Automatic Documentation and Mathematical Linguistics, 2021, Vol. 55, No. 4, pp. 169–177. © Allerton Press, Inc., 2021. Russian Text © The Author(s), 2021, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2: Informatsionnye Protsessy i Sistemy, 2021, No. 8, pp. 5–14.
ISSN
0005-1055
eISSN
1934-8371
DOI
10.3103/s0005105521040087
Publisher site
See Article on Publisher Site

Abstract

On the basis of the analysis of the functioning of complex special-purpose information systems, a general approach was proposed to their mathematical modeling and structural decomposition, based on topological constructions using the theory of the final semigroups. The connection between any transformations of a complex system in the finite space of its states and certain valid coordinatization variants is defined for the final semigroups. Various generalized indicators of evaluation of functional structure simplexes, which allowed one to obtain the characteristics of these complexes, have been determined. The proposed method of analysis allowed more objective analysis of the q-connectivity of the simplexes and the observability and controllability of the special-purpose complex information system. Definitions, theorems, and proofs are presented, which allows calculation of the sequence of composition and the integration of the subsystems of a complex system into a single whole.

Journal

Automatic Documentation and Mathematical Linguistics – Springer Journals

Published: Jul 1, 2021

Keywords: complex system; special-purpose information system; algebraic and topological approaches; finite-dimensional space of states; theory of the final semigroups; simplicial complex; measure of nonconformity of the simplex; q-analysis; Kalman criterion; Gramm matrix; linear dynamic discrete system; control matrix; control vector; system’s interference vector; incidence of the graph; Euclidean space coordinates; triggers; Crohn–Rhodes theorem

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