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Pole placement with fields of positive characteristic

Gorla, Elisa and Rosenthal, Joachim. (2010) Pole placement with fields of positive characteristic. In: Three decades of progress in control sciences. Berlin, pp. 215-232.

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Official URL: http://edoc.unibas.ch/dok/A5260030

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Abstract

The pole placement problem belongs to the classical problems of linear systems theory. It is often assumed that the ground field is the real numbers R or the complex numbers C. The major result over the complex numbers derived in 1981 by Brockett and Byrnes states that arbitrary static pole placement is possible for a generic set of m-inputs, p-outputs and McMillan degree n system as soon as mp<=n. Moreover the number of solutions in the situation mp=n is an intersection number first computed by Hermann Schubert in the 19th century. In this paper we show that the same result with slightly different proofs holds over any algebraically closed field.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Gorla)
UniBasel Contributors:Gorla, Elisa
Item Type:Conference or Workshop Item, refereed
Conference or workshop item Subtype:Conference Paper
Bibsysno:Link to catalogue
Publisher:Springer
Note:Publication type according to Uni Basel Research Database: Conference paper
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Last Modified:22 Mar 2012 14:27
Deposited On:22 Mar 2012 13:58

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