论文标题
线性港口港口描述符系统特征值的结构后向后错误
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
论文作者
论文摘要
当使用结构化的广义特征值方法计算与扰动的港口 - 哈米顿描述器系统的被动性分析相关的基质铅笔的特征结构时，应确保计算频谱满足与此结构和基础物理系统相对应的对称性。我们执行向后的误差分析，并表明，对于与港口 - 哈米尔顿描述符系统相关的基质铅笔以及具有正确的对称结构的给定计算的特征结构，始终存在附近的港口 - 哈米尔顿港描述符系统，并与该特征结构完全存在。我们还得出了该系统的近距离界限，并表明系统的稳定性半径在该结合中起作用。
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the symmetries that corresponds to this structure and the underlying physical system. We perform a backward error analysis and show that for matrix pencils associated with port-Hamiltonian descriptor systems and a given computed eigenstructure with the correct symmetry structure there always exists a nearby port-Hamiltonian descriptor system with exactly that eigenstructure. We also derive bounds for how near this system is and show that the stability radius of the system plays a role in that bound.
