This paper considers the multi-sector model of the technological core of an economy, mathematical methods for its analysis, and procedures for calculating an indicative plan to re- structure the core. The productivity of this core is proposed as a formalized criterion (indicator) for the effectiveness of structural innovations. The following optimization problem is stated: find a balanced state maximizing productivity by planned changes in the output and price indi- ces. An equivalent transformation method is developed for the model considering the achieved values of the indicators. Several propositions concerning the properties of equilibrium and bal- anced states are proved. As a result, a multistage procedure is constructed to calculate the trajec- tory bringing the economic system closer to a balanced state. The multi-sector model is ana- lyzed to compare the uncontrolled and controlled modes of development. The uncontrolled mode simulates the state of a market economy: no centralized management of the economy, sustainability, and relatively low GDP growth rates. The controlled mode involves the strategic planning methodology. As shown below, due to indicative strategic planning, the productivity of Russia’s economy can significantly increase even at the first plan implementation stages. The proposed indicative planning methodology is mathematically justified. Numerical examples of its implementation on real statistical data are given. According to the paper’s results, centralized planning institutions should be established for developing the technological infrastructure of Russia’s economy. Such institutions are of current importance due to the international economic and political situation.

This paper further develops the concept of an applied geographic information system (AGIS) for modeling search correlation-extreme navigation systems (CENSs), which was presented in [4]. As shown below, the AGIS can be configured to perform computational experiments with computer models of the existing CENSs and those undergoing various development stages without programming in universal languages. Strict reliability requirements for CENSs increase the role of testing their computer models under stress exposures. During stress testing, the negative effects of different exposures on autonomous navigation conditions are assessed in application areas. Such exposures are not considered at the CENS design stage (reference point masking, distortion of terrain objects borders, etc.). The exposures that prevent CENSs from performing their tasks effectively (critical exposures) are described. Stability to critical exposures is a strong motivation for improving all CENS elements: sensors of geophysical fields, onboard algorithms, and CENS preparation procedures for performing particular tasks in application areas. The mathematical model of approximation by generalized step functions [4] is used to analyze critical exposures on CENS operation. Computer simulation models of different shooting systems are considered as the most important sources of initial data on the approximated function. The mathematical model of stress exposures on CENSs that match images by the mutual correlation criterion is developed further.

The progress in the development of robotics in the last decade around the world allows us to say that today this field of science is very relevant. The list of problems still includes the issues of control signal transmission - including the possibility of using various neural interfaces, such as oculographic, based on electroencephalogram signals, exoskeleton and others is actively investigated. The work investigates the possibility of reading the operator's control signal in the form of blinks by means of the electroencephalogram. The authors present a scheme of the approach, a description of the software prototype and examples of its operation. The study has shown that the approach of transmitting a control signal through the operator's eye blinks using a brain-computer interface allows you to control the robot in real time. This development can be applied to create a control system for an unmanned aerial vehicle or other robot.

The report is devoted to consumer market stabilization modeling. A macro description of the economic system's functioning process is given. A meaningful interpretation of the simulation results is presented.

Abstract—When developing oil fields, periodic wave disturbances are used to increase the well flow rate and increase the ultimate oil recovery of the reservoirs. In an inhomogeneous medium, in the presence of dissipation and/or dispersion, the harmonic oscillations generated in the well bottoms turn into sawtooth waves with periodic shock fronts. The article describes and investigates one- and two-dimensional nonlinear mathematical models of such processes.