FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 3, PAGES 775-790
I. T. Borisionok
M. V. Shamolin
Abstract
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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.
All articles are published in Russian.
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Last modified: November 11, 1999