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		Guangren DUAN;Yan CHEN.[en_title][J].Control Theory and Technology,2007,5(2):159~163.[Copy]

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GuangrenDUAN;YanCHEN
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Received:November 25, 2005Revised:April 18, 2006

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Generalized regularity and regularizability of rectangular descriptorsystems

Guangren DUAN;Yan CHEN

(Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China)

Abstract:

The notion of generalized regularity is proposed for rectangular descriptor systems. Generalized regularizability of a rectangular descriptor system via different feedback forms is considered. Necessary and sufficient conditions for generalized regularizability are obtained, which are only dependent upon the open-loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, all the generalized regularizing feedback controllers form a Zarisky open set. A numerical example demonstrates the proposed results.

Key words: Generalized regularity Generalized regularizability Rectangular descriptor systems Generalized regularizing feedback controllers