ON A STABILITY PROPERTY OF NONLINEAR SYSTEMS WITH PERIODIC INPUTS HAVING SLOWLY VARYING AVERAGE
ON A STABILITY PROPERTY OF NONLINEAR SYSTEMS WITH PERIODIC INPUTS HAVING SLOWLY VARYING AVERAGE
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平均周期缓变非线性系统的稳定性能
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
J. Seo
中科院分区：
文献类型：
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作者：
Y. Choi;H. Shim;J. Seo
摘要已知，当外部输入冻结时，非线性系统的平衡态具有稳定性，则在输入缓慢变化时，该平衡态保持稳定。在本文中，我们证明了不仅在慢变输入下，而且在慢变平均输入（它实际上不是慢变的，但它的“平均值”是慢变的）下保持相同的稳定性。假设输入是周期性的，变化足够快。在慢变输入条件下，用平均理论和前人的一些结果证明了这一说法。
Abstract It is known that, if an equilibrium of a nonlinear system has a stability property when an external input is frozen, then the property is maintained under the input being slowly varying. In this paper, we show that the same stability property is preserved not only under slowly varying input but also under slowly-varying-average input (which is not actually slowly varying but its ‘average’ is slowly varying). The input is assumed to be periodic and to vary sufficiently fast. We prove the claim by the average theory and some previous results on the slowly varying inputs.