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

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.