@ARTICLE{Krumov_Assen_V._Model_2015,
author={Krumov, Assen V.},
number={No 2},
journal={Archives of Control Sciences},
howpublished={online},
year={2015},
publisher={Committee of Automatic Control and Robotics PAS},
abstract={Abstract In the paper an approximate model of time-varying linear systems using a sequence of time-invariant systems is suggested. The conditions for validity of the approximation are proven with a theorem. Examples comparing the numerical solution of the original system and the analytical solution of the model are given. For the system under the consideration a new criterion giving sufficient conditions for robust Lagrange stability is suggested. The criterion is proven with a theorem. Examples are given showing stable and non stable solutions of a time-varying system and the results are compared with the numerical Runge-Kutta solution of the system. In the paper an important application of the described method of solution of linear systems with time-varying coefficients, namely analytical solution of the Kolmogorov equations is shown.},
title={Model of time-varying linear systems and Kolmogorov equations},
URL={http://journals.pan.pl/Content/84367/PDF/4.pdf},
doi={10.1515/acsc-2015-0013},
}