Stability analysis of nonlinear mechanical systems with delay in positional forces

A. Y. Aleksandrov, E. B. Aleksandrova

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

The paper is devoted to the problem of delay-independent stability for a class of nonlinear mechanical systems. Mechanical systems with linear velocity forces and essentially nonlinear positional ones are studied. It is assumed that there is a delay in the positional forces. With the aid of the decomposition method and original constructions of Lyapunov–Krasovskii functionals, conditions are found under which the trivial equilibrium positions of the considered systems are asymptotically stable for any constant nonnegative delay. An example is given to demonstrate the effectiveness of the obtained results.

Язык оригиналаанглийский
Страницы (с-по)225-232
Число страниц8
ЖурналNonlinear Dynamics and Systems Theory
Том18
Номер выпуска3
СостояниеОпубликовано - 1 янв 2018

Отпечаток

Mechanical Systems
Stability Analysis
Nonlinear Systems
Decomposition
Decomposition Method
Asymptotically Stable
Trivial
Non-negative
Demonstrate
Class

Предметные области Scopus

  • Математическая физика
  • Прикладная математика

Цитировать

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Stability analysis of nonlinear mechanical systems with delay in positional forces. / Aleksandrov, A. Y.; Aleksandrova, E. B.

В: Nonlinear Dynamics and Systems Theory, Том 18, № 3, 01.01.2018, стр. 225-232.

Результат исследований: Научные публикации в периодических изданияхстатья

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N2 - The paper is devoted to the problem of delay-independent stability for a class of nonlinear mechanical systems. Mechanical systems with linear velocity forces and essentially nonlinear positional ones are studied. It is assumed that there is a delay in the positional forces. With the aid of the decomposition method and original constructions of Lyapunov–Krasovskii functionals, conditions are found under which the trivial equilibrium positions of the considered systems are asymptotically stable for any constant nonnegative delay. An example is given to demonstrate the effectiveness of the obtained results.

AB - The paper is devoted to the problem of delay-independent stability for a class of nonlinear mechanical systems. Mechanical systems with linear velocity forces and essentially nonlinear positional ones are studied. It is assumed that there is a delay in the positional forces. With the aid of the decomposition method and original constructions of Lyapunov–Krasovskii functionals, conditions are found under which the trivial equilibrium positions of the considered systems are asymptotically stable for any constant nonnegative delay. An example is given to demonstrate the effectiveness of the obtained results.

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KW - Lyapunov–Krasovskii functional

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