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In this paper, we derive some necessary and sufficient solvability conditionsfor some systems of one sided coupled Sylvester-type real quaternion matrixequations in terms of ranks and generalized inverses of matrices. We also givethe expressions of the general solutions to these systems when they aresolvable. Moreover, we provide some numerical examples to illustrate ourresults. The findings of this paper extend some known results in theliterature.

Systems of four coupled one sided Sylvester-type real quaternion matrix equations and their applications