On a Class of Symplectic Similarity Transformation Matrices
J. Stefanovski, K. Trencevski
Abstract
We present a class of symplectic matrices which transform by similarity given 2n× 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.
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