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On the Sequences Realizing Perron and Lyapunov Exponents of Discrete Linear Time-Varying Systems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Niezabitowski, Michał. 2016. On the Sequences Realizing Perron and Lyapunov Exponents of Discrete Linear Time-Varying Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111728
Modern Language Association (MLA)
Niezabitowski, Michał. On the Sequences Realizing Perron and Lyapunov Exponents of Discrete Linear Time-Varying Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1111728
American Medical Association (AMA)
Niezabitowski, Michał. On the Sequences Realizing Perron and Lyapunov Exponents of Discrete Linear Time-Varying Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111728