4.7 Article

Systems of coupled generalized Sylvester matrix equations

Journal

AUTOMATICA
Volume 50, Issue 11, Pages 2840-2844

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2014.10.033

Keywords

System of matrix equations; Generalized Sylvester matrix equation; Generalized inverses; General solution; Rank

Funding

  1. National Natural Science Foundation of China [11171205]
  2. Key Project of Scientific Research Innovation Foundation of Shanghai Municipal Education Commission [13ZZ080]

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This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficient conditions for the solvability to these systems. We give the expressions of the general solutions to the systems when their solvability conditions are satisfied. (C) 2014 Elsevier Ltd. All rights reserved.

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