Equivalence between Generalized Symplectic Pencil and Skew-Hermitian/Hermitian Pencil
Please always quote using this URN:urn:nbn:de:0296-matheon-1822
- We introduce a transformation between the generalized symplectic pencils and the skew-Hermitian/Hermitian pencils. Under the transformation the regularity of the matrix pencils is preserved, and the equivalence relations about their eigenvalues and deflating subspaces are established. The eigenvalue problems of the generalized symplectic pencils and skew-Hermitian/Hermitian pencils are strongly related to the discrete-time and continuous-time robust control problems, respectively. With the transformation a simple connection between these two types of robust control problems is made. The connection may help to develop unified methods for solving the robust control problems.
Author: | Hongguo Xu |
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URN: | urn:nbn:de:0296-matheon-1822 |
Referee: | Caren Tischendorf |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2004/11/19 |
Release Date: | 2004/11/15 |
Preprint Number: | 175 |