On the Solution of Generalized Sylvester Matrix Equation

Wataru Kase · Transactions of the Society of Instrument and Control Engineers · 2007

Recently, a complete general parametric solution to the generalized second-order Sylvester matrix equation was presented. In this note, it will be shown that the idea is also valid for an arbitrary order. It will be also shown that the calculation of the solution can be easily obtained by using the basis in polynomial vector space.

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