Abstract
Abstract. This chapter is the first part of the theoretical survey on the joint spectral radius. We first present precise definitions of the main concepts. We then show that these definitions are well posed, and we present some basic properties on the joint spectral radius. In the last section, we show that these notions are “useful”, in the sense that they actually characterize the maximal and minimal growth rates of a switched dynamical system.
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Keywords
- Spectral Radius
- Hausdorff Distance
- Switch Linear System
- Linear Discrete Time System
- Introductory Chapter
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© 2009 Springer-Verlag Berlin Heidelberg
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Jungers, R. (2009). Basics. In: The Joint Spectral Radius. Lecture Notes in Control and Information Sciences, vol 385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-95980-9_2
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DOI: https://doi.org/10.1007/978-3-540-95980-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-95979-3
Online ISBN: 978-3-540-95980-9
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