描述符系统的矩匹配：一种莫比乌斯映射方法
Moment Matching for Descriptor Systems: A Möbius Mapping Approach
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中文总结 AI 辅助
提出一种基于莫比乌斯映射的矩匹配方法，适用于连续和离散时间描述符系统，可灵活可靠地降阶并约束极点和零点，并通过实际数值示例验证。
中文摘要 AI 辅助
针对一类由正常或非正常传递函数描述的单输入单输出系统，我们提出了适用于连续时间和离散时间情境的矩匹配程序。所提出的技术不仅比文献中现有的其他程序更加灵活和可靠，而且还能对降阶模型的极点和零点施加约束。这一基于约束的特性，此前仅适用于连续时间状态空间系统，现通过一个基于文献中实际问题的数值示例加以说明。
英文摘要
For a class of single-input single-output systems described by proper or improper transfer functions, we propose moment-matching procedures applicable in both continuous- and discrete-time contexts. The resulting technique is not only more flexible and reliable than other procedures which are currently available in literature, but it also enables the placement of constraints on the reduced-order model's poles and zeros. This constraint-based feature, hitherto available only for continuous-time state-space systems, is illustrated via a numerical example based on a practical problem from literature.
发表机构
- Romanian Academy（罗马尼亚科学院）
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