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Soft Computing

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21.07.2017 | Methodologies and Application

The solution of fuzzy Sylvester matrix equation

verfasst von: Qixiang He, Liangshao Hou, Jieyong Zhou

Erschienen in: Soft Computing | Ausgabe 19/2018

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Abstract

In this paper, A fuzzy Sylvester matrix equation with crisp coefficient matrices is considered. We use the arithmetic operation rule of fuzzy number to transfer the equation into two crisp Sylvester matrix equations, which avoids using Kronecker operation and which makes it possible to apply some existing methods to solve Sylvester matrix equation. Since the two transferred equations keep the number of unknowns unchanged, numerical operations needed in our method are much less than the operations in the method using Kronecker product. At last, we use several small-scale examples to illustrate the correctness of our method and several large-scale examples to illustrate the efficiency of our method.

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Titel: The solution of fuzzy Sylvester matrix equation
verfasst von: Qixiang He
Liangshao Hou
Jieyong Zhou
Publikationsdatum: 21.07.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 19/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2702-8

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