Differential representations of multivariable linear systems with disturbances and polynomial matrix equations PX + RY = W and PX + YN = V
Marek K. Solak · IEEE Transactions on Automatic Control · 1985
A unified state-space approach to polynomial matrix equationsPX + R Y = W, PX + YN = Vbased on a generalization of the Wolovich-Guidorzi formula has been presented. In this paper a connection is shown between the solutions of the above equations and differential representations for multivariable linear systems with disturbances. Applications are presented for stable synthesis of certain types of compensators.