On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control |
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Authors: | C He |
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Institution: | (1) Department of Mathematics, University of Kansas, Snow Hall 405, Lawrence, KS 66045, USA , US |
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Abstract: | Summary. According to the methodology of 6], many measures of distance arising in problems in numerical linear algebra and control
can be bounded by a factor times the reciprocal of an appropriate condition number, where the distance is thought of as the
distance between a given problem to the nearest ill-posed problem. In this paper, four major problems in numerical linear
algebra and control are further considered: the computation of system Hessenberg form, the solution of the algebraic Riccati
equation, the pole assignment problem and the matrix exponential. The distances considered here are the distance to uncontrollability
and the distance to instability.
Received November 4, 1995 / Revised version received March 4, 1996 |
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Keywords: | Mathematics Subject Classification (1991):65F35 |
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