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Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field. / Вавилов, Сергей Анатольевич.

In: Automation and Remote Control, Vol. 82, No. 1, 82:1, 01.2021, p. 93-101.

Research output: Contribution to journal › Article › peer-review

Harvard

Вавилов, СА 2021, 'Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field', Automation and Remote Control, vol. 82, no. 1, 82:1, pp. 93-101. https://doi.org/10.1134/s0005117921010069

APA

Вавилов, С. А. (2021). Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field. Automation and Remote Control, 82(1), 93-101. [82:1]. https://doi.org/10.1134/s0005117921010069

Vancouver

Вавилов СА. Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field. Automation and Remote Control. 2021 Jan;82(1):93-101. 82:1. https://doi.org/10.1134/s0005117921010069

Author

Вавилов, Сергей Анатольевич. / Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field. In: Automation and Remote Control. 2021 ; Vol. 82, No. 1. pp. 93-101.

BibTeX

@article{e802dd37c711444eab092bda1eccbbbd,
title = "Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field",
abstract = "We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field",
keywords = "adaptive control, two-point boundary value problem, uncertainty conditions, differential equations, adaptive control, uncertainty conditions, two-point boundary value problem, differential equations, two-point boundary value problems",
author = "Вавилов, {Сергей Анатольевич}",
year = "2021",
month = jan,
doi = "10.1134/s0005117921010069",
language = "English",
volume = "82",
pages = "93--101",
journal = "Automation and Remote Control",
issn = "0005-1179",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field

AU - Вавилов, Сергей Анатольевич

PY - 2021/1

Y1 - 2021/1

N2 - We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field

AB - We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field

KW - adaptive control, two-point boundary value problem

KW - uncertainty conditions

KW - differential equations

KW - adaptive control

KW - uncertainty conditions

KW - two-point boundary value problem

KW - differential equations

KW - two-point boundary value problems

UR - http://www.scopus.com/inward/record.url?scp=85101769177&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/358ffc7c-aa4c-3782-9c07-c3b64d631c76/

U2 - 10.1134/s0005117921010069

DO - 10.1134/s0005117921010069

M3 - Article

VL - 82

SP - 93

EP - 101

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 1

M1 - 82:1

ER -

ID: 74652783