Relations between Bohl and general exponents

20179 citationsJournal Articlediamond Open Access

Authors

Artur Babiarz

Adam Czornik · Silesian University of Technology

Michał Niezabitowski · Silesian University of Technology

Е. А. Барабанов · National Academy of Sciences of Belarus

Aliaksei Vaidzelevich · National Academy of Sciences of Belarus

Alexander Konyukh · Belarusian State Economic University

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.

Topics & Keywords

Matrix Theory and Algorithms Stability and Control of Uncertain Systems Mathematical Control Systems and Analysis

Publication Details

Published in: Discrete and Continuous Dynamical Systems

Volume 37, Issue 10, pp. 5319-5335

DOI: 10.3934/dcds.2017231

Field-Weighted Citation Impact: 1.18

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Relations between Bohl and general exponents

Authors

Abstract

Topics & Keywords

Publication Details