An overview of stability conditions in terms of the Lyapunov matrix for linear integral delay
equations is presented. Several examples in the analysis, control and modeling motivate …

The new kind of practical issues was born due to modern trend on globalization and
transition to the concept of industry 4.0. These are the processes in commercial networks …

The article considers the problem of point control of the differential-difference equation with
distributed parameters on the graph in the class of summable functions. The differential …

A new necessary and sufficient exponential stability condition for systems with multiple
delays is presented. It is given in terms of a symmetric block matrix uniquely determined by …

Software creation for cyber-physical systems is based on complex algorithms. A feature of
the modern organization of production and commerce is the consolidation of participants in …

The analysis of the behaviour of the evolutionary equation solution with unlimited time
variable has been a subject of discussion in scientific circles for a long time. There are many …

In many applications because of the complexity of the mathematical models have to
abandon the use of ordinary differential equations in behalf of considering the evolutionary …

Recently, the possibility to verify positive definiteness of Lyapunov–Krasovskii functionals
only on a specific Razumikhin-type set of functions to conclude on the stability of linear time …

The article is devoted to the modeling of digital interaction by analyzing responses to the
promotion of commercial brands through all possible channels of influence on consumer …

This paper discusses the problem of creation of control algorithms when working in the Third
Party Logistic concept. It considers the process of supply management when several means …