This study presents a parametric approach to design output feedback for descriptor quasi-linear high-order systems. Utilizing the solution to the high-order generalized Sylvester equations (HGSEs), the more unified parametric form of output feedback is developed. With the proposed approach, the closed-loop is transformed into a linear constant system with an expected eigenstructure. Meanwhile, the regularity of the closed-loop system is maintained easily and effectively. Finally, a synchronization problem of Genesio-Tesi and Coullet systems is proposed to illustrate the effectiveness of the parametric approach.

中文翻译：

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通过输出反馈对一类描述符拟线性高阶系统进行参数控制

这项研究提出了一种参数化方法来设计描述子准线性高阶系统的输出反馈。利用对高阶广义Sylvester方程（HGSE）的解决方案，开发了输出反馈的更统一的参数形式。利用所提出的方法，将闭环转换为具有预期特征结构的线性常数系统。同时，轻松有效地保持闭环系统的规律性。最后，提出了Genesio-Tesi和Coullet系统的同步问题，以说明参数化方法的有效性。