This paper considers periodic selector-linear differential inclusions with asymptotically stable sets. The criterium of asymptotic stability is obtained by means of the variational technique and the equivalence of the properties of uniform asymptotic stability and uniform exponential stability for the considered class of inclusions is proved.

The possibilities of direction finding of broadband signals by an antenna array in the presence of interferences are considered on the basis of methods of super-resolution of Capone and MUSIC. Based on the known relationships describing the direction-finding patterns formed by the antenna array in the direction-finding of narrow-band signals, expressions were obtained in the article for optimal detection of broadband signals. To ensure the possibility of technical implementation of methods in excess of the resolution for the direction-finding of broadband signals, it is proposed in the article for the finite number of frequencies of the broadband signal spectrum to optimally form the direction-finding relief. For the remaining frequencies of the signal spectrum, approximate using various functions. The results of the simulation showed that the more frequencies of the signal spectrum in which the direction-finding relief is formed optimally and the higher the degree of the approximating function, the higher the accuracy of the direction-finding spectrum of the broadband signal. However, this also leads to an increase in hardware and time costs. The main regularities providing formation of the direction finding relief when receiving and processing of broadband signals are derived. Numerical simulation of the obtained regularities is carried out.

Построена теория магнитного доменного упорядочения в пленочных материалах при наличии точечных дипольных неоднородностей. Проведено моделирования распределения намагниченности в прямоугольной полоске.

For an unmanned aerial vehicle under the influence of external uncontrolled disturbances, the problem of synthesis the control law in the form of dynamic feedback which ensures the movement of the center of mass along a given spatial trajectory is considered. Within the framework of the block approach, a hierarchical procedure for the synthesis of S-shaped sigmoidal feedbacks has been developed that ensures ε-invariance of tracking errors to external disturbances, taking into account design restrictions on speed and overload. A lower-order observer is constructed for estimating derivative tracking errors from measurements of tracking errors. The results of numerical modeling of the developed algorithms are presented.

The paper examines the design techniques of control charts intended for predicting critical time changes of lab-measured process indicators. A control chart design algorithm is offered for monitoring time changes of several product’s properties with autocorrelations between consecutive observations. The algorithm is based on the filtration of observations by a specially designed filter without edge effect and on the Hotelling statistics.