DocumentCode :
3663878
Title :
On the attainability of an estimate of a number of Perron exponents for discrete linear diagonal systems with bounded coefficients
Author :
Alexander Konyukh;Michał Niezabitowski
Author_Institution :
Belarus State Economic University, Partyzanski praspiekt 26, 220070 Minsk, Belarus
fYear :
2015
Firstpage :
994
Lastpage :
999
Abstract :
The Lyapunov, Perron and Bohl exponents are the most important numerical characteristics of dynamic systems used in control theory. Properties of the first one are well investigated. Properties of the Perron and Bohl exponents are much less described in the literature, for example the questions about the structure of the sets of values of these quantities for general discrete-time systems are still open. In this paper we give an example of a two-dimensional system with bounded coefficients that have three different Perron exponents. In addition, we prove that the s-dimensional diagonal discrete-time system with bounded coefficients can have any number of different Perron exponents between 1 and 2s - 1.
Keywords :
"Linear systems","Differential equations","Time-varying systems","Discrete-time systems","Stability analysis","Electronic mail","Control theory"
Publisher :
ieee
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
Type :
conf
DOI :
10.1109/MMAR.2015.7284014
Filename :
7284014
Link To Document :
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