Published In

SIAM Journal of Matrix Analysis and Applications

Document Type

Article

Publication Date

2016

Subjects

Eigenvalues, Boundary Conditions (Differential Equations), Matrices

Abstract

We describe the spectra of certain tridiagonal matrices arising from differential equations commonly used for modeling flocking behavior. In particular we consider systems resulting from allowing an arbitrary boundary condition for the end of a one-dimensional flock. We apply our results to demonstrate how asymptotic stability for consensus and flocking systems depends on the imposed boundary condition.

Description

This is the publisher's final PDF. Copyright (2016) Society for Industrial and Applied Mathematics. This is an open access article distributed under the Creative Commons Attribution License: https://creativecommons.org/licenses/by-nc-nd/4.0/

Version of record can be found at http://dx.doi.org/10.1137/140978909

DOI

10.1137/140978909

Persistent Identifier

http://archives.pdx.edu/ds/psu/17473

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