Overview
- Presents most up-to-date research on the Joint Spectral Radius
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 385)
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About this book
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.
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Table of contents (11 chapters)
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Front Matter
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Introduction
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Part I Theory
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Front Matter
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Part II Applications
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Front Matter
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Part III Appendices
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Front Matter
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Back Matter
Reviews
From the reviews:
“This very interesting and well-written monograph covers both the theory and several applications of the joint spectral radius of a set of matrices, a notion which appears in different fields of mathematics … . The monograph is made of two parts: the first addresses the theoretical aspects, while the second is focused on some applications. … I believe the book will become a standard reference for the subject.” (Nicola Guglielmi, Mathematical Reviews, Issue 2011 c)Authors and Affiliations
Bibliographic Information
Book Title: The Joint Spectral Radius
Book Subtitle: Theory and Applications
Authors: Raphaël Jungers
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/978-3-540-95980-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Softcover ISBN: 978-3-540-95979-3Published: 19 May 2009
eBook ISBN: 978-3-540-95980-9Published: 15 May 2009
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XIV, 146
Number of Illustrations: 18 b/w illustrations
Topics: Control, Robotics, Mechatronics, Systems Theory, Control