Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov

Andriy Viktorovich Goncharenko^1,

¹Mechanics Department, Mechanical-Energetical Faculty, Aero-Space Institute, National Aviation University, Kyiv, Ukraine

Cite this paper:
Andriy Viktorovich Goncharenko. Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov. Automatic Control and Information Sciences. 2014; 2(1):20-25. doi: 10.12691/acis-2-1-4

Abstract

Herein it has been made an attempt to find a theoretical explanation to the responsible person controlling behavior. On the basis of the subjective entropy of individual preferences extremization principle developed by Professor V.A. Kasianov we can derive some identities. Using the necessary conditions for extremums of a functional to exist in the view of the system of the Euler-Lagrange equations we get the widely known fundamental laws, namely, the law of subjective value by Jakob Bernoulli, as well as the main law of psychophysiology: the Weber-Fechner law in application to problems of optimal control in active systems. The discussed approach allows finding optimal paths as well as has an intrinsic universal value. The derived dependences have the significance of the conservative values at solving optimization problems. The corresponding modeling performed is illustrated with the necessary diagrams.

Keywords:
optimal control individual preferences subjective entropy objective functional variational principle subjective conservatism modeling

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