Left Conjugate Product of Polynomial Matrices and Solutions to the Dual Sylvester-Conjugate Matrix Equations
Ai‐Guo Wu, Ye Chen, Victor Sreeram, Wanquan Liu, Tyrone Lucius Fernando · UWA Profiles and Research Repository (UWA) · 2012
In this paper, the concept of left conjugate product is first presented. Some interesting properties of the concept are then derived. Using left conjugate product as a tool, we investigate dual Sylvester-conjugate matrix equations which include Lyapunov matrix equations and generalized Sylvester-observer matrix equations as special cases. An explicit solution of this matrix equation is presented with a free parameter matrix.