Geodesic
An analysis of the stability boundary for a linear fractional difference system
Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 195-203.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper J. Čermák, T. Kisela, and L. Nechvátal (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference system.
DOI : 10.21136/MB.2015.144325
Classification : 26A33, 34A08, 39A06, 39A12, 39A30
Mots-clés : fractional difference system; stability; Laplace transform 
@article{10_21136_MB_2015_144325,
     author = {Kisela, Tom\'a\v{s}},
     title = {An analysis of the stability boundary for a linear fractional difference system},
     journal = {Mathematica Bohemica},
     pages = {195--203},
     publisher = {mathdoc},
     volume = {140},
     number = {2},
     year = {2015},
     doi = {10.21136/MB.2015.144325},
     mrnumber = {3368493},
     zbl = {06486933},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144325/}
}
TY  - JOUR
AU  - Kisela, Tomáš
TI  - An analysis of the stability boundary for a linear fractional difference system
JO  - Mathematica Bohemica
PY  - 2015
SP  - 195
EP  - 203
VL  - 140
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144325/
DO  - 10.21136/MB.2015.144325
LA  - en
ID  - 10_21136_MB_2015_144325
ER  - 
%0 Journal Article
%A Kisela, Tomáš
%T An analysis of the stability boundary for a linear fractional difference system
%J Mathematica Bohemica
%D 2015
%P 195-203
%V 140
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144325/
%R 10.21136/MB.2015.144325
%G en
%F 10_21136_MB_2015_144325
Kisela, Tomáš. An analysis of the stability boundary for a linear fractional difference system. Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 195-203. doi : 10.21136/MB.2015.144325. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144325/

Cité par Sources :