Work

Asymptotics of solving control problem with minimum intensity of linear three-tempo singularly perturbed system

Year: 2026

Type: article

Abstract: The problem of optimizing the transient process in a linear singularly perturbed system with two groups of fast variables is considered, which consists in finding multidimensional control with minimal intensity. It is shown that to construct an approximate (in the asymptotic sense) solution to this problem, it is sufficient to solve three unperturbed optimal control problems of a smaller dimension.

Source: Proceedings of the Institute of Mathematics of the NAS of Belarus

DOI: 10.67268/1812-5093-2026-34-1s-128-142

Authors: A. I. Kalinin, L. I. Lavrinovich

Institution: Belarusian State University

Language: English

Topic: Singular Perturbation, Asymptotics and Difference Schemes

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7225581330

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Cites: 6

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Related to: 10