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Geometrical Properties of the L2 Optimal Order Reduction Projection

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1 Author(s)
Y. Halevi ; Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa

The paper investigates reduced order models obtained by projection of a high order system, and presents two properties of the optimal L2 reduced order models. It deals first with existence and uniqueness of a projection that relates given full order and reduced order systems. The analysis is carried out by investigating the properties of the Kronecker canonical form of a certain matrix pencil. Then it is shown that for the optimal L2 reduced order model the pencil assumes a non-generic structure, and that in turn indicates that the corresponding projection is discontinuous at that point and in some cases resides on the boundary of the set of attainable models

Published in:

Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005.

Date of Conference:

27-29 June 2005