On a Class of Symplectic Similarity Transformation Matrices

Abstract

We present a class of symplectic matrices which transform by similarity given $2n\times 2n$ -dimensional matrix into Bunse-Gerstner form. If the given matrix is skew-Hamiltonian, the transformation gives a solution of an antisymmetric Riccati matrix equation, resulting from optimal control of linear systems.

submitted to ELA for publication