Relations between Bohl and general exponents

Artur Babiarz; Adam Czornik; Michał Niezabitowski; Evgenij Barabanov; Aliaksei Vaidzelevich; Alexander Konyukh

doi:10.3934/dcds.2017231

Article Contents

2017, Volume 37, Issue 10: 5319-5335. Doi: 10.3934/dcds.2017231

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Relations between Bohl and general exponents

1.
Silesian University of Technology Faculty of Automatic Control, Electronics and Computer Science Akademicka 16 Street, 44-100 Gliwice, Poland
2.
Institute of Mathematics of National Academy of Sciences of Belarus Surganova 11, Minsk, Belarus
3.
Belarus State Economic University Partyzanski praspiekt 26, 220070 Minsk, Belarus

* Corresponding author: Michał Niezabitowski
* Corresponding author: Michał Niezabitowski

Received: February 2017

Revised: April 2017

Published: October 2017

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Abstract

In the paper we study the problem of the influence of the parametric uncertainties on the Bohl exponents of discrete time-varying linear system. We obtain formulas for the computation of the exact boundaries of lower and upper mobility for the supremum and infimum of the Bohl exponents under arbitrary small perturbations of system coefficients matrices on the basis of the transition matrix.

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Mathematics Subject Classification: Primary: 39A06, 39A30; Secondary: 93D05.

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References

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