PROBLEMS OF DIFFERENTIAL AND TOPOLOGICAL DIAGNOSTICS. PART II. PROBLEM OF DIFFERENTIAL DIAGNOSTICS



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Abstract

Proposed work is the second in the cycle, therefore, we present the classification of malfunctions and introduce the concept of reference malfunctions that can occur in the control system of the object and in the neighborhoods of these malfunctions. The simplest possible approaches to mathematical modeling of malfunctions and their neighborhoods are formulated, and the problem of nondegeneracy of reference malfunctions is discussed in detail. The concept of diagnostic space is introduced, and its mathematical structure is defined. We also prepare the material for the consideration of the problem of differential diagnostics.

About the authors

M. V. Shamolin

Lomonosov Moscow State University

Author for correspondence.
Email: morenov@ssau.ru
ORCID iD: 0000-0002-9534-0213

Doctor of Physical and Mathematical Sciences, full professor, leading researcher of the Institute of Mechanics, academic of the Russian Academy of Natural Sciences

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