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.
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Kirichenko, N.F., Krak, Y.V. & Polishchuk, A.A. Pseudoinverse and Projection Matrices in Problems of Synthesis of Functional Transformers. Cybernetics and Systems Analysis 40, 407–419 (2004). https://doi.org/10.1023/B:CASA.0000041999.63598.28
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DOI: https://doi.org/10.1023/B:CASA.0000041999.63598.28