Stability Analysis for Nonlinear Mechanical Systems with Non-stationary Potential Forces

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Abstract

In the paper, the stability problem for mechanical systems under the influence of nonlinear dissipative, gyroscopic and potential forces is investigated. It is assumed that there is a non-stationary piecewise monotone coefficient at potential forces. Both single and multiple Lyapunov functions are used for the analysis. Considered approach allows to generalize the known results obtained earlier for such classes of systems.
Original languageEnglish
Title of host publication2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Electronic)978-1-7281-6705-3
ISBN (Print)978-1-7281-6706-0
StatePublished - 2020
Event15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB): Pyatnitskiy's Conference - ИПУ РАН, Москва, Russian Federation
Duration: 2 Jun 20205 Jun 2020
Conference number: 15

Conference

Conference15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)
Abbreviated titleSTAB 2020
CountryRussian Federation
CityМосква
Period2/06/205/06/20

Keywords

  • Mechanical systems
  • non-stationary potential forces
  • stability
  • Lyapunov functions

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