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Fundam. Prikl. Mat., 1999, Volume 5, Issue 3, Pages 775–790 (Mi fpm401)  

This article is cited in 8 scientific papers (total in 8 papers)

Resolving a problem of differential diagnostics

U. T. Borisenok, M. V. Shamolin

M. V. Lomonosov Moscow State University

Abstract: A problem of differential diagnostics of functional state of controlled objects having the module structure and possessing a finite choice of possible disrepairs can be reduced into two independent sequentially solved problems: the checking problem, i. e. the recognition criterion of existence of disrepair in a system, and the problem of diagnostics, i. e. the search of disrepair. The exit of the object trajectory to some checked manifold may be the criterion of existence of disrepair in the system. The disrepair can occur at any unknown moment of object motion and in any point inside that manifold. The problem of diagnostics can be resolved by tracing of the object trajectory after its exit to the checking manifold. The notion of the space of diagnostics is presented. Such space has weaker properties than the general topological space.

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Bibliographic databases:
UDC: 629.7.052
Received: 01.01.1998

Citation: U. T. Borisenok, M. V. Shamolin, “Resolving a problem of differential diagnostics”, Fundam. Prikl. Mat., 5:3 (1999), 775–790

Citation in format AMSBIB
\by U.~T.~Borisenok, M.~V.~Shamolin
\paper Resolving a~problem of differential diagnostics
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 3
\pages 775--790

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    This publication is cited in the following articles:
    1. M. V. Shamolin, “Dynamical systems with variable dissipation: Approaches, methods, and applications”, J. Math. Sci., 162:6 (2009), 741–908  mathnet  crossref  mathscinet  zmath  elib  elib
    2. M. V. Shamolin, “Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications”, J. Math. Sci., 230:2 (2018), 185–353  mathnet  crossref  elib
    3. M. V. Shamolin, “Reshenie zadachi diagnostirovaniya v sluchayakh traektornykh izmerenii s oshibkoi i tochnykh traektornykh izmerenii”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 150, VINITI RAN, M., 2018, 88–109  mathnet  mathscinet
    4. M. V. Shamolin, E. P. Krugova, “Zadacha diagnostiki modeli girostabilizirovannoi platformy”, Materialy mezhdunarodnoi konferentsii«InternationalConference onMathematicalModellinginAppliedSciences, ICMMAS-17», Sankt-Peterburgskii politekhnicheskii universitet,2428 iyulya2017 g., Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 160, VINITI RAN, M., 2019, 137–141  mathnet  mathscinet
    5. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 1. Uravneniya dvizheniya i klassifikatsiya neispravnostei”, Vestn. SamU. Estestvennonauchn. ser., 25:1 (2019), 32–43  mathnet  crossref  elib
    6. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast II. Zadacha differentsialnoi diagnostiki”, Vestn. SamU. Estestvennonauchn. ser., 25:3 (2019), 22–32  mathnet  crossref
    7. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 3. Zadacha kontrolya”, Vestn. SamU. Estestvennonauchn. ser., 25:4 (2019), 36–47  mathnet  crossref
    8. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 4. Zadacha diagnostirovaniya (sluchai tochnykh traektornykh izmerenii)”, Vestn. SamU. Estestvennonauchn. ser., 26:1 (2020), 52–68  mathnet  crossref
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