Pseudoinverse and Projection Matrices in Problems of Synthesis of Functional Transformers

Authors:
N. F. Kirichenko;Yu. V. Krak;A. A. Polishchuk
Affiliations:
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine;T. G. Shevchenko National University, Kiev, Ukraine;T. G. Shevchenko National University, Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2004

Citing 3
Cited 5

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Abstract

An approach is proposed to derive dependences in the form of functional transformers. Conditions of existence and the method of constructing such functional transformers as a superposition of linear and nonlinear functions from a specified class are presented. The principle of optimal synthesis of functional transformers is formulated based on the theory of disturbance of projective and pseudoinverse operators. Methods are proposed for constructing complex functional transformers of different topologies.