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APPROXIMATIONS OF THE SET OF TRAJECTORIES, ATTAINABLE SETS AND INTEGRAL FUNNEL OF NONLINEAR CONTROL SYSTEMS WITH MIXED CONSTRAINTS ON THE CONTROL FUNCTIONS
Дата публикации: 13-10-2026 11:36:54

Название: APPROXIMATIONS OF THE SET OF TRAJECTORIES, ATTAINABLE SETS AND INTEGRAL FUNNEL OF NONLINEAR CONTROL SYSTEMS WITH MIXED CONSTRAINTS ON THE CONTROL FUNCTIONS
Авторы: Huseyin, Anar; Huseyin, Nesir

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Название: APPROXIMATIONS OF THE SET OF TRAJECTORIES, ATTAINABLE SETS AND INTEGRAL FUNNEL OF NONLINEAR CONTROL SYSTEMS WITH MIXED CONSTRAINTS ON THE CONTROL FUNCTIONS
Авторы: Huseyin, Anar
Huseyin, Nesir
Дата публикации: 2026
Издатель: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Библиографическое описание: Huseyin Anar. APPROXIMATIONS OF THE SET OF TRAJECTORIES, ATTAINABLE SETS AND INTEGRAL FUNNEL OF NONLINEAR CONTROL SYSTEMS WITH MIXED CONSTRAINTS ON THE CONTROL FUNCTIONS / Anar Huseyin, Nesir Huseyin. — Text : electronic // Ural Mathematical Journal. — 2026. — Volume 12. — № 1. — P. 45-59.
Аннотация: In this paper, approximations of the set of trajectories, attainable sets and integral funnel of a control system described by a nonlinear ordinary differential equation with mixed constraints on the control functions are discussed. The set of admissible control functions is replaced by a set consisting of a finite number of piecewise-constant control functions. Then, each trajectory generated by a piecewise-constant control function is replaced by its Euler’s broken line, and it is proved that, in appropriate settings of the discretization parameters, the Hausdorff distance between the set of trajectories, attainable sets, integral funnel, and their approximations can be made sufficiently small.
Ключевые слова: NONLINEAR CONTROL SYSTEM
MIXED CONSTRAINTS
SET OF TRAJECTORIES
ATTAINABLE SET
INTEGRAL FUNNEL
APPROXIMATION
URI: https://elar.urfu.ru/handle/10995/157785
Условия доступа: Creative Commons Attribution License
Текст лицензии: https://creativecommons.org/licenses/by/4.0/
Идентификатор РИНЦ: 91852791
EDN: JOSFWK
ISSN: 2414-3952
DOI: 10.15826/umj.2026.1.004
Источники: Ural Mathematical Journal. 2026. Volume 12. № 1
Располагается в коллекциях:Ural Mathematical Journal

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