| dc.contributor.author | Petryk, Mykhaylo | |
| dc.contributor.author | Cherevko, Igor | |
| dc.contributor.author | Ilika, Svitlana | |
| dc.date.accessioned | 2024-10-23T13:44:20Z | |
| dc.date.available | 2024-10-23T13:44:20Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://archer.chnu.edu.ua/xmlui/handle/123456789/10701 | |
| dc.description.abstract | In this paper, the schemes of approximation of systems with delays by special systems of
ordinary differential equations are considered and the connections between their solutions are
investigated. The equivalence of the exponential stability of systems with delay and of the
proposed system of ordinary differential equations is established. We consider using
approximation schemes to approximate location the asymptotic roots of quasipolynomials of
linear systems of differential-difference equations with many delays through the roots of the
characteristic equations of the corresponding approximating systems of ordinary differential
equations. An algorithm for studying the stability of systems of linear differential-difference
equations with many delays is proposed. Numerical algorithms for studying the stability of
linear stationary systems with delay are constructed and their coefficient regions of stability
are modeled. The implementation of the proposed algorithms for studying the stability of
solutions of linear differential equations with delay is demonstrated on model test examples.
The analysis of numerical experiments carried confirms the theoretical results presented in the
paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Published in DSMSI 2023 | uk_UA |
| dc.relation.ispartofseries | ;С. 107-114 | |
| dc.subject | differential-difference equations | uk_UA |
| dc.subject | dynamic systems | uk_UA |
| dc.subject | initial value problems | uk_UA |
| dc.subject | approximation schemes | uk_UA |
| dc.subject | stability and asymptotic stability | uk_UA |
| dc.subject | stability region | uk_UA |
| dc.subject | computer modeling | uk_UA |
| dc.title | Approximation of Systems with Delay and their Application | uk_UA |
| dc.type | Other | uk_UA |
