论文标题

具有相等模型参数的A模型可以导致希尔伯特空间模型

The A-model with mutually equal model parameters can lead to a Hilbert space model

论文作者

Jursenas, Rytis

论文摘要

众所周知,如果模型参数相互截然不同,则高阶奇异扰动的A模型可以被视为希尔伯特空间模型,如果否则,它一定是pontryagin空间模型。在本说明中,我们证明,如果模型空间中的扩展是通过合适的线性关系来描述的,那么具有相等模型参数的A模型仍可以导致希尔伯特空间模型。

It is known that the A-model for higher order singular perturbations can be considered as a Hilbert space model if the model parameters are mutually distinct, and that it is necessarily a Pontryagin space model if otherwise. In this note we demonstrate that the A-model with mutually equal model parameters can nonetheless lead to a Hilbert space model if the extensions in the model space are instead described by suitable linear relations.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源