A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

Zhuoheng He;Qingwen Wang

【期刊名称】《代数集刊（英文版）》 【年(卷),期】2017(024)001

【摘要】We in this paper derive necessary and sufficient conditions for the system of the periodic discrete-time coupled Sylvester matrix equations AkXk + YkBk =Mk,CkXk+1 + YkDk =Nk (k =1,2) over the quaternion algebra to be consistent in terms of ranks and generalized inverses of the coefficient matrices.We also give an expression of the general solution to the system when it is solvable.The findings of this paper generalize some known results in the literature. 【总页数】12页(169-180) 【关键词】

【作者】Zhuoheng He;Qingwen Wang

【作者单位】Department of Mathematics, Shanghai University Shanghai 200444, China;Department of Mathematics and Statistics, Auburn University AL 36849-5310, USA;Department of Mathematics, Shanghai University Shanghai 200444, China 【正文语种】英文 【中图分类】 【相关文献】