The Joint Spectral Radius

Theory and Applications

  • Raphaël Jungers

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 385)

Table of contents

  1. Front Matter
  2. Introduction

    1. Raphaël Jungers
      Pages 1-3
  3. Part I Theory

    1. Front Matter
      Pages 5-5
    2. Raphaël Jungers
      Pages 7-22
    3. Raphaël Jungers
      Pages 23-46
    4. Raphaël Jungers
      Pages 47-61
  4. Part II Applications

    1. Front Matter
      Pages 75-75
    2. Raphaël Jungers
      Pages 77-84
    3. Raphaël Jungers
      Pages 85-99
    4. Raphaël Jungers
      Pages 101-114
    5. Raphaël Jungers
      Pages 115-120
    6. Raphaël Jungers
      Pages 121-123
  5. Part III Appendices

    1. Front Matter
      Pages 125-125
  6. Back Matter

About this book

Introduction

This monograph is based on the Ph.D. Thesis of the author [58]. Its goal is twofold: First, it presents most researchwork that has been done during his Ph.D., or at least the part of the work that is related with the joint spectral radius. This work was concerned with theoretical developments (part I) as well as the study of some applications (part II). As a second goal, it was the author’s feeling that a survey on the state of the art on the joint spectral radius was really missing in the literature, so that the ?rst two chapters of part I present such a survey. The other chapters mainly report personal research, except Chapter 5 which presents animportantapplicationofthejointspectralradius:thecontinuityofwavelet functions. The ?rst part of this monograph is dedicated to theoretical results. The ?rst two chapters present the above mentioned survey on the joint spectral radius. Its minimum-growth counterpart, the joint spectral subradius, is also considered. The next two chapters point out two speci?c theoretical topics, that are important in practical applications: the particular case of nonne- tive matrices, and the Finiteness Property. The second part considers applications involving the joint spectral radius.

Keywords

Joint Spectral Radius basics capacity combinatorics control growth network sensor sensor network wavelet

Authors and affiliations

  • Raphaël Jungers
    • 1
  1. 1.UCL/INMALouvain-la-NeuveBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-95980-9
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-95979-3
  • Online ISBN 978-3-540-95980-9
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book