Abstract
The problem considered in this paper is to solve generalized periodic Sylvester bimatrix equations. By utilizing bimatrix mapping tool and some algebraic technology, a parametric algorithm is presented to derive the complete and explicit solutions to this type of equations. The exact solutions derived by the proposed algorithm possess countless freely parameters, which can provide sufficient degree of freedom. The method is also applied to the pole assignment problem of complex-valued linear periodic system. Finally, two practical examples are employed to verify the correctness and validity of the proposed approach.
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