Abstract

This paper deals with analysis and design of robust, state-feedback control law uniform-asymptotically stabilizing at origin the system consisting of coupled nth-order ordinary differential equations in the presence of a nonvanishing at \(x=0\) or even unbounded on the time interval \([0,\infty )\) time-varying high-frequency oscillating perturbation w(t, x). The obtained results generalize and extend some known and now classical results in the control theory for a wider class of perturbations, namely belonging to the class of so-called diminishing functions.

中文翻译：

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具有潜在无界高频振荡扰动的耦合$$ {\ varvec {n}} $$ n阶微分方程系统的渐近稳定

摘要

本文研究了鲁棒的，状态反馈控制律的分析和设计，该律在原点处渐近稳定化了由耦合的n阶常微分方程组成的系统，该系统存在\（x = 0 \）甚至无界的情况。在时间间隔\（[0，\ infty} \）时变高频振荡扰动w（t，  x）上。所获得的结果推广并扩展了控制理论中一些已知的且现在更为经典的结果，涉及更广泛的摄动类别，即属于所谓的递减函数类别。