Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 19, Pages 9730-9741Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.03.020
Keywords
Generalized Sylvester-conjugate matrix equation; Controllability matrix; Observability matrix; Degrees of freedom; Smith normal form
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Funding
- National Natural Science Foundation of China [60974044, 61074111]
- Program for New Century Excellent Talents in University
- Project for Distinguished Young Scholars of the Basic Research Plan in Shenzhen City
- Project for Key Laboratory of Wind Power and Smart Grid [CXB201005250025A]
- Foundation for Creative Research Groups of the National Natural Science Foundation of China [61021002]
- National Program on Key Basic Research Project (973 Program) [2012CB821205]
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In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms. (C) 2012 Elsevier Inc. All rights reserved.
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