Stability criterion for linear systems of ordinary differential equations
Classical Analysis and ODEs
2021-03-19 v4
Abstract
The Riccati equation method is used to establish a new stability criteria for linear systems of ordinary differential equations. Two examples are presented in which the obtained result is compared with the results obtained by the Lyapunov and Bogdanov methods, by a method involving estimates of solutions in the Lozinskii logarithmic norms and by the freezing method.
Cite
@article{arxiv.2101.09166,
title = {Stability criterion for linear systems of ordinary differential equations},
author = {G. A. Grigorian},
journal= {arXiv preprint arXiv:2101.09166},
year = {2021}
}