Artificial intelligence

Scientific journal

ISSN 2710-1673

ONLINE: ISSN 2710-1681

Select your language


Mathematical model of the method of comparison in a dynamic system

Afanasiev V.1, Natalukha Y.1, Tokarev V.1, Horoshajlo Y.1
1 Harkiv National University Radioelectronics

Full text (PDF)

UDC: 681.51.015
Publication Language: Russian
Stuc. intelekt. 2013; 18(4):10-14

Abstract: In comparison, a method that allows substantially increase the accuracy of the identification process, leading to improved control of various objects and systems. The comparison method allows to fix the value of the predicate Ф (х, y) as a function of the two input signals, and the predicate Ф (х, у) represented in the form Ф (x, у) = D (φ (x), φ (y)) where the elements (x) and (y) run arbitrary Abelian group G , and φ: G -> L – homomorphism G on some Abelian group L , ie φ – Mapping G to L satisfy the condition: φ (x + y)= φ (x) + φ (y).

Keywords: method of comparison, identification, dynamic system

References:

  1. F. Riesz, Sz.-Nagy, Lectures on functional analysis. Moscow: Mir, 1979. 587 s.
  2. AG Kurosh, Theory of Groups. Moscow: Nauka, 1967, 648 s.
  3. Beetroot N. General topology. Moscow: Nauka, 1969. 392 s.
  4. In Gorbatov A. Fundamentals of Discrete Mathematics. M.: High. wk., 1986. 311
  5. Berezin, liquid NP calculation methods. Moscow: Nauka, 1966. V.1. 632 p.
  6. D.Hilbert and P. Bernays. Grundlagen der mathematic // Springer - Verlag. 1968. 557 s.

View full text (PDF)