Several kinds of Stability of efficient Solutions in Vector Trajectorial discrete Optimization Problem

This work was partially supported by DAAD, Fundamental Researches Foundation of Belarus and International Soros Science Education Program We consider a vector discrete optimization problem on a system of non- empty subsets (trajectories) of a finite set. The vector criterion of the pro- blem consists partial criterias of the kinds MINSUM, MINMAX and MIN- MIN. The stability of eficient (Pareto optimal, Slater optimal and Smale op- timal) trajectories to perturbations of vector criterion parameters has been investigated. Suficient and necessary conditions of eficient trajectories local stability have been obtained. Lower evaluations of eficient trajectories sta- bility radii, and formulas in several cases, have been found for the case when l(inf) -norm is defined in the space of vector criterion parameters

Several kinds of Stability of efficient Solutions in Vector Trajectorial discrete Optimization Problem

This work was partially supported by DAAD, Fundamental Researches Foundation of Belarus and International Soros Science Education Program We consider a vector discrete optimization problem on a system of non- empty subsets (trajectories) of a finite set. The vector criterion of the pro- blem consists partial criterias of the kinds MINSUM, MINMAX and MIN- MIN. The stability of eficient (Pareto optimal, Slater optimal and Smale op- timal) trajectories to perturbations of vector criterion parameters has been investigated. Suficient and necessary conditions of eficient trajectories local stability have been obtained. Lower evaluations of eficient trajectories sta- bility radii, and formulas in several cases, have been found for the case when l(inf) -norm is defined in the space of vector criterion parameters

Функциональное диагностирование узлов радиосистем со статическими нелинейностями

The problem of diagnosis of functional nodes that are part of radio systems with a static nonlinearity and allowing for the decomposition into components with scalar inputs and outputs. It is shown that in this case it is possible to construct means of functional diagnosis in the form of a Bank of observers, allowing to solve the task not only of detection but also the localization of errors to the maximum possible depth. Offered an appropriate synthesis algorithm means of diagnosis, which is illustrated by an example.Рассмотрена задача функционального диагностирования узлов, входящих в состав радиотехнических систем, имеющих статическую нелинейность и допускающих декомпозицию на компоненты со скалярными входами и выходами. Показано, что в этом случае можно построить средства функционального диагностирования в виде банка наблюдателей, позволяющего решить задачу не только обнаружения, но и локализации ошибок с максимально возможной глубиной. Предложен алгоритм синтеза средств диагностирования, работа которого проиллюстрирована примером

АНАЛИТИЧЕСКОЕ КОНСТРУИРОВАНИЕ КОНТУРА ТЕЛЕУПРАВЛЯЕМОГО БЕСПИЛОТНОГО ЛЕТАТЕЛЬНОГО АППАРАТА ПО КРИТЕРИЮ ОБОБЩЕННОЙ РАБОТЫ

The article considers the non­terminal problem for neutral contour of a telecontrolled pilotless aircraft. Optimal control synthesis is provided on the basis of minimization of generalized work functional. The analysis of optimal telecontrolled pilotless aircraft contour is carried out. В статье рассматривается решение задачи нетерминального управления для нейтрального контура телеуправляемого беспилотного летательного аппарата (ТБЛА). Синтез оптимального управления осуществляется на основе минимизации функционала обобщенной работы. Проводится анализ оптимального контура ТБЛА

The Diagnosis of Functional Nodes of Radio Systems with Static Nonlinearities

The problem of diagnosis of functional nodes that are part of radio systems with a static nonlinearity and allowing for the decomposition into components with scalar inputs and outputs. It is shown that in this case it is possible to construct means of functional diagnosis in the form of a Bank of observers, allowing to solve the task not only of detection but also the localization of errors to the maximum possible depth. Offered an appropriate synthesis algorithm means of diagnosis, which is illustrated by an example

ANALYTICAL ENGINEERING OF A TELECONTROLLED PILOTLESS AIRCRAFT CONTOUR IN ACCORDANCE WITH GENERALIZED WORK CRITERION

The article considers the non­terminal problem for neutral contour of a telecontrolled pilotless aircraft. Optimal control synthesis is provided on the basis of minimization of generalized work functional. The analysis of optimal telecontrolled pilotless aircraft contour is carried out

Multiphysical simulation analysis of the dislocation structure in germanium single crystals

Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.To grow high-quality germanium crystals is one of the most important problems of growth industry. The dislocation density is an important parameter of the quality of single crystals. The dislocation densities in germanium crystals 100 mm in diameter, which have various shapes of the side surface and are grown by the Czochralski technique, are experimentally measured. The crystal growth is numerically simulated using heat-transfer and hydrodynamics models and the Alexander–Haasen dislocation model in terms of the CGSim software package. A comparison of the experimental and calculated dislocation densities shows that the dislocation model can be applied to study lattice defects in germanium crystals and to improve their quality