Constraint generalized Sylvester matrix equations

Constraint generalized Sylvester matrix equations

In this paper, some necessary and sufficient conditions are established for the constraint generalized Sylvester matrix equations to have a common solution. The expression of the general common solution is also given under the solvable conditions. In addition, a numerical example is presented to ill...

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Veröffentlicht in:Automatica (Oxford) 2016-07, Vol.69, p.60-64
Hauptverfasser: Wang, Qing-Wen, Rehman, Abdur, He, Zhuo-Heng, Zhang, Yang
Format: Artikel
Sprache:eng
Schlagworte:
Explicit solution
Generalized Sylvester matrix equation
Linear matrix equation
Mathematical analysis
Mathematical models
Moore–Penrose inverse
Rank
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Beschreibung
Zusammenfassung:In this paper, some necessary and sufficient conditions are established for the constraint generalized Sylvester matrix equations to have a common solution. The expression of the general common solution is also given under the solvable conditions. In addition, a numerical example is presented to illustrate the presented theory.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2016.02.024