The joint spectral radius : theory and applications

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...

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Detalhes bibliográficos
Autor principal: Jungers, Raphaël
Outros Autores: Morari, Manfred, 1951- (Directeur de la publication), Thoma, Manfred, 1929-2014 (Directeur de la publication)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2009.
Colecção:Lecture Notes in Control and Information Sciences 385
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Edition sous un autre format:• The joint spectral radius, theory and applications, Raphaël Jungers, 2009, Berlin, Springer, 1 vol. (XIII- 144 p.), Lecture notes in control and information sciences, 978-3-540-95979-3
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505 1 |a I Theory Basics Classical Results and Problems Nonnegative Integer Matrices On the Finiteness Property for Rational Matrices II Applications Continuity of Wavelet Functions Capacity of Codes Overlap-Free Words Trackable Graphs Conclusion III Appendices Appendix A Numerical Values for Overlap-Free Words 
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520 |a 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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