This work presents the original proprietary mathematical model for interregional agricultural holding management relying on the harmonized digital platform of the Russian agrarian sector that allows conceiving the general formalized approach to the strategic direction of various integrated establishments within the sector. The approach provides a theoretical substantiation for harmonized approaches to the long-term digital transformation of major agricultural associations followed by medium and small businesses

This paper presents study of stability of a special two-dimensional system with switching. Its subsystems have second order and are Hurwitz. The first subsystem is linear system presented in Frobenius form and the second one has the same eigenvalues as first one but has swapped states and corresponding realization. The considered problem is to find all permissible eigenvalues that provide asymptotic stability to the switched system under any switching signal and non-zero initial condition. The study is based on common Lyapunov functions which existence is checked using known approach that consists in studying the stability of a convex combination of the subsystems matrices.

This paper proposes a new philosophy for the synthesis of sliding modes using the method of expanding the state space and the block approach in control. An important feature of the developed algorithms for the synthesis of invariant systems, in contrast to systems with deep feedbacks, is the modulus constraint of controls and state vector coordinates.

Abstract—We describe prerequisites for the emergence of the key concept of incentive compatibility in the theory of active systems and mechanism design and give a survey of approaches to this problem, which have led to stating the fair-play and revelation principles, and of current trends in this branch of scientific knowledge. Potential difficulties and development prospects are discussed. Keywords: active system, mechanism design, incentive compatibility, fair-play principle, revelation principle, strategy-proofness, active planin

A deterministic analytical approach to modeling a batch processing of similar information queries in a multithreaded server on a single processor is considered. It is shown that the proposed approach allows getting an idea of the behavior and characteristics of the software server when processing queries in parallel mode. The features of the application of the model in a multi-core environment are described.