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		Jianxiong YANG,Maoqing LI.[en_title][J].Control Theory and Technology,2010,8(3):293~300.[Copy]

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JianxiongYANG,MaoqingLI
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DOI：10.1007/s11768-010-0033-8

Received:February 01, 2010Revised:February 01, 2010

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Further decomposition for singular systems and its properties on geometric subspace

Jianxiong YANG,Maoqing LI

(Department of Automation, Xiamen University)

Abstract:

This paper focuses on the relationship between the geometric subspaces and the structural decomposition of continuous-time singular systems. The original structural decomposition is not capable of revealing explicitly the invariant geometric subspaces for singular systems. As such, a further decomposition is necessary and is thus investigated in this paper. Under a new decomposition proposed, the supremal output-nulling (A,E, ImB)-invariant subspace of singular systems can be clearly expressed in an explicit form, and some of its applications are also addressed.

Key words: Singular systems Structural demonstration Geometric subspaces