Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations
Dynamical Systems
2018-08-24 v1
Abstract
Our aim in this paper is to investigate the asymptotic behavior of solutions of the perturbed linear fractional differential system. We show that if the original linear autonomous system is asymptotically stable then under the action of small (either linear or nonlinear) nonautonomous perturbations the trivial solution of the perturbed system is also asymptotically stable.
Keywords
Cite
@article{arxiv.1601.06538,
title = {Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations},
author = {N. D. Cong and T. S. Doan and H. T. Tuan},
journal= {arXiv preprint arXiv:1601.06538},
year = {2018}
}