Uniform asymptotic stability for damped linear oscillators with variable parameters

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摘要

In this paper, sufficient conditions for uniform asymptotic stability of the damped linear oscillators with variable coefficients are presented. The result of the present study can be applied to even the case of negative damping. The conditions presented herein are shown to be essential for uniform asymptotic stability.

论文关键词:Uniform asymptotic stability,Damped linear oscillator,Nonautonomous system,Lyapunov function

论文评审过程:Available online 15 July 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.06.025