Our work proposes a new combined method for interpreting data on planetary magnetic fields, which includes the construction of regional modified S-approximations considering ellipticity and local approximations of a nonstationary field, which is the solution of some parabolic type of equation with constant coefficients. The main provisions of the method of linear integral representations are developed as applied to time-dependent differential operators, which is of fundamental importance in solving many inverse problems of mathematical geophysics.

We consider the problem of stabilization of a given position of a transport crane trolley under the presence of uncertainties in model. To reduce the payload oscillations, we form a trajectory as the sum of the sigmoid function and the integral of the angular coordinate. The developed trajectory is tracked using the control law, where we also apply the sigmoid function.

A developmental model reflects the dynamics of macro indicators of the Russian economy, such as the consumer price index, the ruble exchange rate, the dynamics, and the annual GDP index in the medium term. When building the model, we used expert hypotheses, patterns, and statistical data. To build a model, we used a phenomenological approach, which consists in formalizing the properties of the observed reaction of the economy to external influences and the subsequent verification of the resulting model.

The article proposes the concept of joint navigation and communication for a heterogeneous group of autonomous uncrewed vehicles located in different environments. The theory of multi-agent systems forms the basis for this concept. The authors present a block diagram for a multi-agent system, a scheme of object integration based on the data from geophysical fields, beacons, and other available meters.

We propose a method for conducting stress testing of enterprises in the real sector of the economy. The development includes the formulation and methodology for solving the inverse problem of stress testing and a predictive mathematical model based on data from open sources (companies' financial statements). The inverse task is to determine the characteristics of the financial and economic state of the enterprise, corresponding to various critical combinations of parameters of the financial result of its activities. Our original technique can significantly reduce the complexity and computational complexity of stress testing. We demonstrate our development by the stress testing backbone enterprises in the trade industry. The results obtained will find application in solving optimization problems for making decisions to increase the survivability of various sectors of the economy.