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IMA Journal of Mathematical Control and Information Advance Access originally published online on February 20, 2007
IMA Journal of Mathematical Control and Information 2007 24(4):507-522; doi:10.1093/imamci/dnm008
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Necessary and sufficient conditions for parameter insensitive disturbance-rejection problems with dynamic output feedback

Naohisa Otsuka{dagger}

Department of Information Sciences, Tokyo Denki University, Hatoyama-Machi, Hiki-Gun, Saitama 350-0394, Japan

{dagger} Email: otsuka{at}j.dendai.ac.jp

Received on November 11, 2005; Accepted on December 16, 2006

In this paper, necessary and sufficient conditions for the parameter insensitive disturbance-rejection problem with dynamic output feedback which was studied in Otsuka (1999) to be solvable are given for the structured uncertain linear systems. Further, necessary and sufficient conditions for the solvability of the problems with static output feedback and state feedback are also studied as special cases. The obtained results contain some extensions of the previous results to the structured uncertain linear systems.

Keywords: geometric approach; simultaneously invariant subspaces; generalized invariant subspaces; uncertain linear systems; disturbance rejection; dynamic output feedback.


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