Theory of differential inclusions and its application in mechanics

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/раздел

1 цитирование (Scopus)

Выдержка

The following chapter deals with systems of differential equations with discontinuous right-hand sides. The key question is how to define the solutions of such systems. The most adequate approach is to treat discontinuous systems as systems with multivalued right-hand sides (differential inclusions). In this work, three well-known definitions of solution of discontinuous system are considered. We will demonstrate the difference between these definitions and their application to different mechanical problems. Mathematical models of drilling systems with discontinuous friction torque characteristics are considered. Here, opposite to classical Coulomb symmetric friction law, the friction torque characteristic is asymmetrical. Problem of sudden load chande is studied. Analytical methods of investigation of systems with such asymmetrical friction, based on the use of Lyapunov functions, are demonstrated. TheWatt governor and Chua system are considered to show different aspects of computer modeling of discontinuous systems.

Язык оригиналаанглийский
Название основной публикацииNew Perspectives and Applications of Modern Control Theory
Подзаголовок основной публикацииIn Honor of Alexander S. Poznyak
ИздательSpringer
Страницы219-239
Число страниц21
ISBN (электронное издание)9783319624648
ISBN (печатное издание)9783319624631
DOI
СостояниеОпубликовано - 30 сен 2017

Отпечаток

Differential Inclusions
Mechanics
Discontinuous Systems
Friction
Torque
Governors
Lyapunov functions
Computer Modeling
Drilling
Multivalued
Loads (forces)
System of Differential Equations
Differential equations
Analytical Methods
Lyapunov Function
Mathematical models
Mathematical Model
Demonstrate

Предметные области Scopus

  • Технология (все)
  • Математика (все)

Цитировать

Kiseleva, M., Kuznetsov, N., & Leonov, G. (2017). Theory of differential inclusions and its application in mechanics. В New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak (стр. 219-239). Springer. https://doi.org/10.1007/978-3-319-62464-8_9
Kiseleva, Maria ; Kuznetsov, Nikolay ; Leonov, Gennady. / Theory of differential inclusions and its application in mechanics. New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer, 2017. стр. 219-239
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Kiseleva, M, Kuznetsov, N & Leonov, G 2017, Theory of differential inclusions and its application in mechanics. в New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer, стр. 219-239. https://doi.org/10.1007/978-3-319-62464-8_9

Theory of differential inclusions and its application in mechanics. / Kiseleva, Maria; Kuznetsov, Nikolay; Leonov, Gennady.

New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer, 2017. стр. 219-239.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/раздел

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Kiseleva M, Kuznetsov N, Leonov G. Theory of differential inclusions and its application in mechanics. В New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer. 2017. стр. 219-239 https://doi.org/10.1007/978-3-319-62464-8_9