Методика обеспечения диагностируемости электронных средств космических аппаратов по ранговому критерию на ранних этапах проектирования
The application technique rang, criterion and the diagnostic modeling is offered, allowing to provide testability of electronic means at early stages designing
The paper substantiates the necessity and development of original mathematical model of zener, which allows to carry out diagnostic modeling of radio-electronic means in wide range of faultiness. Proposed model can be included in composition of base of mathematical models of complete units of modern computer programs of schematic analysis.
In this paper, we propose a diagnostic model of electronic means (ES), based on the complex electrical, thermal and mechanical modeling for high reliability computer-aided diagnosis. The method developed on the basis of this model allows to detect hidden faults and system failures due to the interconnection of electrical, thermal and mechanical processes occurring in the ES. Hidden failures are not reflected in the separate mathematical modeling of physical processes and occur when mathematical modeling of electrical processes is made in view of operating temperatures and mechanical stress of component elements, when their mutual influence on each other.
Generalized error-locating codes are discussed. An algorithm for calculation of the upper bound of the probability of erroneous decoding for known code parameters and the input error probability is given. Based on this algorithm, an algorithm for selection of the code parameters for a specified design and input and output error probabilities is constructed. The lower bound of the probability of erroneous decoding is given. Examples of the dependence of the probability of erroneous decoding on the input error probability are given and the behavior of the obtained curves is explained.
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg-de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton`s component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.
Radiation conditions are described for various space regions, radiation-induced effects in spacecraft materials and equipment components are considered and information on theoretical, computational, and experimental methods for studying radiation effects are presented. The peculiarities of radiation effects on nanostructures and some problems related to modeling and radiation testing of such structures are considered.
Let G be a semisimple algebraic group whose decomposition into the product of simple components does not contain simple groups of type A, and P⊆G be a parabolic subgroup. Extending the results of Popov , we enumerate all triples (G, P, n) such that (a) there exists an open G-orbit on the multiple flag variety G/P × G/P × . . . × G/P (n factors), (b) the number of G-orbits on the multiple flag variety is finite.
I give the explicit formula for the (set-theoretical) system of Resultants of m+1 homogeneous polynomials in n+1 variables