Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned

Xu, Hongguo; Mehrmann, Volker

dc.contributor.author	Xu, Hongguo
dc.contributor.author	Mehrmann, Volker
dc.date.accessioned	2015-04-08T21:24:17Z
dc.date.available	2015-04-08T21:24:17Z
dc.date.issued	1998-05-01
dc.identifier.citation	Mehrmann, Volker & Xu, Hongguo. "Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned." SIAM. J. Matrix Anal. & Appl., 19(3), 664–681. (18 pages) 1998. http://dx.doi.org/10.1137/S0895479896302382.	en_US
dc.identifier.uri	http://hdl.handle.net/1808/17356
dc.description	This is the published version, also available here: http://dx.doi.org/10.1137/S0895479896302382.	en_US
dc.description.abstract	We discuss the single-input pole placement problem (SIPP) and analyze how the conditioning of the problem can be estimated and improved if the poles are allowed to vary in specific regions in the complex plane. Under certain assumptions we give formulas as well as bounds for the norm of the feedback gain and the condition number of the closed loop matrix. Via several numerical examples we demonstrate how these results can be used to estimate the condition number of a given SIPP problem and also demonstrate how to select the poles to improve the conditioning.	en_US
dc.publisher	Society for Industrial and Applied Mathematics	en_US
dc.subject	pole placement	en_US
dc.subject	condition number	en_US
dc.subject	perturbation theory	en_US
dc.subject	Jordan form	en_US
dc.subject	Cauchy matrix	en_US
dc.subject	stabilization	en_US
dc.subject	feedback gain	en_US
dc.subject	distance to uncontrollability	en_US
dc.subject	optimal conditioning	en_US
dc.title	Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned	en_US
dc.type	Article
kusw.kuauthor	Xu, Hongguo
kusw.kudepartment	Mathematics	en_US
kusw.oanotes	On author or institutional website or online repository. Non-commercial. Publisher copyright must be acknowledged. Publisher's version/PDF may be used.	en_US
dc.identifier.doi	10.1137/S0895479896302382
kusw.oaversion	Scholarly/refereed, publisher version
kusw.oapolicy	This item does not meet KU Open Access policy criteria.
dc.rights.accessrights	openAccess

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