Properties of solutions of nonlinear equations of mechanics control systems

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

1 цитирование (Scopus)

Выдержка

Particularities of the application of the equations of motion in gravitational fields in nonlinear problems to problems, when equations or solutions contain nonsmooth functions, are discussed. Classical mechanics is engaged in the study of properties, approximation and prediction of motion for problems with regular functions. Solving nonlinear equations of dynamics uses additional transformations to eliminate singularities of equations for complex systems that lead to a linear or simplified form. This gives the possibility of solving with regard to the stages of successive approximation. The application of such transformations is considered for solving the problems of controlled motion of space vehicles in the gravitational field, taking into account active and reactive forces. After reduction to the canonical form or regular elements of nonlinear equations of dynamics we obtain the initial approximation. The control by the relay view determines the switching times at corner points based on the Pontryagin maximum principle. It is required to join successive sections of the trajectory.

Язык оригиналаанглийский
Название основной публикации2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
ИздательInstitute of Electrical and Electronics Engineers Inc.
ISBN (электронное издание)9781509062607
DOI
СостояниеОпубликовано - 10 июл 2017
Событие2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg, Российская Федерация
Продолжительность: 21 мая 201726 мая 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Конференция

Конференция2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Сокращенный заголовокCNSA 2017
СтранаРоссийская Федерация
ГородSaint-Petersburg
Период21/05/1726/05/17
Адрес в сети Интернет

Отпечаток

Nonlinear equations
Mechanics
Nonlinear Equations
Control System
Gravitational Field
Control systems
Maximum principle
Equations of motion
Large scale systems
Regular Element
Nonsmooth Function
Pontryagin Maximum Principle
Motion
Classical Mechanics
Successive Approximation
Trajectories
Approximation Property
Canonical form
Relay
Join

Предметные области Scopus

  • Моделирование и симуляция
  • Анализ
  • Прикладная математика
  • Теория оптимизации

Цитировать

Korolev, V. (2017). Properties of solutions of nonlinear equations of mechanics control systems. В 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7973973] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7973973
Korolev, Vladimir. / Properties of solutions of nonlinear equations of mechanics control systems. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017.
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Korolev, V 2017, Properties of solutions of nonlinear equations of mechanics control systems. в 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7973973, Institute of Electrical and Electronics Engineers Inc., Saint-Petersburg, Российская Федерация, 21/05/17. https://doi.org/10.1109/CNSA.2017.7973973

Properties of solutions of nonlinear equations of mechanics control systems. / Korolev, Vladimir.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. 7973973.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

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Korolev V. Properties of solutions of nonlinear equations of mechanics control systems. В 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7973973 https://doi.org/10.1109/CNSA.2017.7973973