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Approximate Zero Polynomials of Polynomial Matrices and Linear Systems

Karcanias, N. and Fatouros, S. (2011). Approximate Zero Polynomials of Polynomial Matrices and Linear Systems. Paper presented at the European Control Conference 2009, 23-26 Aug 2009, Budapest, Hungary.

Abstract

The aim of this paper is to extend recent results on the approximate GCD of polynomials [1] and approximate zeros to the case of a polynomial matrices within the framework of exterior algebra [2]. The results provide the means to introduce a new characterization of approximate decoupling zeros and measures for approximate controllability and observability for the case of linear systems.

Publication Type: Conference or Workshop Item (Paper)
Additional Information: © 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publisher Keywords: Almost zeros, polynomial matrix, Grassmann invariants, Approximate Controllability and Observability
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Engineering
School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
URI: http://openaccess.city.ac.uk/id/eprint/14044
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