Modeling the motion of linear control objects to an external functional trajectory

Objective . The aim of the study is to model the behavior of dynamic control objects. The control objects are considered, the mathematical model of which corresponds to the description of typical dynamic links, for example, oscillatory, inertial. Method . Approaches inherent to the linear problem of speed and the boundary value problem for ordinary differential equations are used. Solutions are determined programmatically using traditional computing packages. Result . The results show the possibility of transferring a given control object from the zero state to the calculated point of the external trajectory of movement. Conclusion . The possibility of solving a boundary value problem for control objects that can be both stable and unstable at their poles is shown.

Authors

Institutions

Publication Details

Journal
Herald of Dagestan State Technical University Technical Sciences
Published
2025-04-18
DOI
https://doi.org/10.21822/2073-6185-2025-52-1-49-56
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Modeling the motion of linear control objects to an external functional trajectory

Victor Afonin
Herald of Dagestan State Technical University Technical Sciences
Numerical methods for differential equations
article

Modeling the motion of linear control objects to an external functional trajectory

Victor Afonin
article en

Abstract

Objective . The aim of the study is to model the behavior of dynamic control objects. The control objects are considered, the mathematical model of which corresponds to the description of typical dynamic links, for example, oscillatory, inertial. Method . Approaches inherent to the linear problem of speed and the boundary value problem for ordinary differential equations are used. Solutions are determined programmatically using traditional computing packages. Result . The results show the possibility of transferring a given control object from the zero state to the calculated point of the external trajectory of movement. Conclusion . The possibility of solving a boundary value problem for control objects that can be both stable and unstable at their poles is shown.

Herald of Dagestan State Technical University Technical SciencesVol. 52(1)
National Research Mordovia State University (RU)
Openalex Percentile: Top 88%
Numerical methods for differential equations
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.