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2016•Unpublished venueRequires access

Analysis of behavior of a simple eigenvalue of singular system

María Isabel García Planas, Sonia Tarragona, Matemàtica Aplicada I

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Abstract

Abstract—Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x ̇ = A(p)x+B(p)u, y = C(p)x smoothly dependent on real parameters p = (p1,..., pn). Index Terms—Singular linear systems, Eigenvalues, Eigenvectors, Perturbation. 1.

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What this paper is about

Abstract—Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x ̇ = A(p)x+B(p)u, y = C(p)x smoothly dependent on real parameters p = (p1,..., pn). Index Terms—Singular linear systems, Eigenvalues, Eigenvectors, Perturbation. 1.

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Available abstract

Abstract—Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x ̇ = A(p)x+B(p)u, y = C(p)x smoothly dependent on real parameters p = (p1,..., pn). Index Terms—Singular linear systems, Eigenvalues, Eigenvectors, Perturbation. 1.

Key concepts: Simple (philosophy), Eigenvalues and eigenvectors, Mathematics, Singular spectrum analysis, Applied mathematics, Computer science, Calculus (dental), Mathematical analysis

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