Structure-preserving Computation of Stable Deflating Subspaces

摘要: Abstract Structure-preserving numerical techniques for computation of stable deflating subspaces, with applications in control systems design, are presented. The use extended skew-Hamiltonian/Hamiltonian matrix pencils, and specialized algorithms to exploit their structure: the symplectic URV decomposition, periodic QZ algorithm, solution Sylvester-like equations, etc. structure-preserving approach has potential avoid difficulties which encountered a traditional, non-structured solution, returned by currently available software tools.