Article

Properties of the Controllability Set of One Class of Differential Inclusions

B. Sh. RahimovJizzakh Polytechnic Institute, 130100, Jizzakh, Republic of Uzbekistan

Russian Mathematicsjournal2024en

ABI

Abstract

In this paper we consider a mathematical model of control system in the form differential inclusion. The problem of controllability of this system under the condition of mobility of the terminal set $$M = M(t)$$ is researched. For this model of a dynamic system we define a notion of the M-controllability set. Using the methods of the theory of differential inclusions and multivalued maps, the structural and topological properties of the M-controllability set are studied.

Topics

Stability and Control of Uncertain Systems Nonlinear Differential Equations Analysis Optimization and Variational Analysis

Identifiers

DOI: 10.3103/s1066369x24700609

Citations and references

Cited by 011 references

Metrics — AkademScholar · Coming soon