TY - GEN A1 - Xu, Hongguo T1 - Equivalence between Generalized Symplectic Pencil and Skew-Hermitian/Hermitian Pencil N2 - 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. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/182 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1822 ER -