Article ID Journal Published Year Pages File Type
10418021 Journal of Applied Mathematics and Mechanics 2005 11 Pages PDF
Abstract
Quasi-linear systems with many degrees of freedom are investigated for low dissipation and periodic perturbation using Lyapunov's second method. The periodic perturbation can be of small or large amplitude. Criteria of the asymptotic stability of the systems investigated are derived, which can be characterized as the sufficient conditions for parametric imperturbability of the latter when there is a weak dissipative background. The proposed approach enables limiting cases of periodic perturbation to be considered, when the corresponding frequency may approach both zero and infinity. Extensions to the case of non-periodic perturbations which vary very slowly or very rapidly with time are possible.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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