In this paper, the adaptive stabilization of a nonlinear moving string of “Kirchhoff” type with high gain adaptive output feedback type is investigated. The model that we have adopted is more general than the one adopted in the previous studies. The concept of this type of control allows the system to be dissipative. We show that the gain function is bounded and then we prove under this result that the system is exponentially stable.

中文翻译：

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基尔霍夫运动弦的自适应稳定

本文研究了具有高增益自适应输出反馈类型的“基尔霍夫”型非线性运动弦的自适应稳定性。我们采用的模型比以前的研究中所采用的模型更为笼统。这种控制的概念使系统具有耗散性。我们证明了增益函数是有界的，然后我们在这个结果下证明了系统是指数稳定的。