On the sequences realizing Perron and Lyapunov exponents of discrete linear time-varying systems
type: Item
instance of: scholarly article
title: On the sequences realizing Perron and Lyapunov exponents of discrete linear time-varying systems
zbMATH Open document ID: 1400.93177
DOI: 10.1155/2016/1487824
author: Michał Niezabitowski
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: We investigate properties of partial exponents (in particular, the Lyapunov and Perron exponents) of discrete time-varying linear systems. In the set of all increasing sequences of natural numbers, we define an equivalence relation with the property that sequences in the same equivalence class have the same partial exponent. We also define certain subclass of all increasing sequences of natural numbers, including all arithmetic sequences, such that all partial exponents are achievable on a sequence from this class. Finally, we show that the Perron and Lyapunov exponents may be approximated by partial exponents achievable on sequences in certain sense similar to geometric sequences.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 37M10
zbMATH DE Number: 6952790
Wikidata QID: Q59130977
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1487824
OpenAlex ID: W2547049588
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description: scientific article; zbMATH DE number 6952790