GENERALIZED DIAKOPTICS FOR CONTROL SYSTEMS WITH VARIABLE STRUCTURE

Petrov Andrey Eugenievitch, doctor of technical sciences. The National University of Science and Technology MISiS

Abstract

Management of complex technical, information, economic systems requires the calculation process under changing the structure of the links, including the calculations by parts. This ensures the tensor method of dual networks, generalization of diakoptics. Transformations in space structure when you change dimension closed and unclosed paths subspaces connects invariant duality. This invariant is the constant sum of the metric tensors of the two networks with the dual structure. From the point of view of physics, an invariant is the constancy of the sum of power of two dual electrical circuits when the structure changes. The methods of calculation are given in restructuring: connecting and sharing links, external and internal excitation of this and the dual network. Network models of different complex systems are based on analogies and processes structure. The network models of the oil refining system and the banking system presented as examples.

KEYWORDS: network models, processes, modifying the structure, transformation matrix, oil refining, banking system.

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