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		Guangren DUAN.[en_title][J].Control Theory and Technology,2004,2(4):397~400.[Copy]

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GuangrenDUAN
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Received:August 27, 2004Revised:October 23, 2004

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A note on combined generalized Sylvester matrix equations

Guangren DUAN

(Center for Control Theory and Guidance Technology, Harbin Institute of Technology,P.O.Box 416,Harbin Heilongjiang 150001,China)

Abstract:

The solution of two combined generalized Sylvester matrix equations is studied. It is first shown that the two combined generalized Sylvester matrix equations can be converted into a normal Sylvester matrix equation through extension, and then with the help of a result for solution to normal Sylvester matrix equations, the complete solution to the two combined generalized Sylvester matrix equations is derived. A demonstrative example shows the effect of the proposed approach.

Key words: Sylvester matrix equations Jordan matrices Control applications