Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752419 | Systems & Control Letters | 2006 | 4 Pages |
Abstract
This paper presents the solution of the constrained Sylvester equation associated to linear descriptor systems. This problem has been recently studied in Castelan and da Silva [On the solution of a Sylvester equation appearing in descriptor systems control theory, Systems Control Lett. 54 (2005) 109–117], where sufficient conditions for the existence of the solution are given. In the present paper, a simple and direct method is developed to solve this problem. This method shows that the conditions given in Castelan and da Silva [On the solution of a Sylvester equation appearing in descriptor systems control theory, Systems Control Lett. 54 (2005) 109–117] are necessary and sufficient.
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Authors
M. Darouach,