Solutions to a family of matrix equations by using the Kronecker matrix polynomials |
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| Authors: | Bin Zhou Zhao-Yan Li |
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| Affiliation: | a Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. Box 416, Harbin 150001, Heilongjiang, PR China
b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China |
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| Abstract: | Closed form solutions to a family of generalized Sylvester matrix equation in form of  are given by using the so-called Kronecker matrix polynomials. It is found that the structure of the solutions is independent of the orders ?,ψ and φ. This type of uniform closed form solutions includes our early results as special cases. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems in linear systems. |
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| Keywords: | Generalized Sylvester matrix equations Kronecker matrix polynomials Coprime Closed form solutions Linear system theory |
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