Title | On the stability of trajectories of a set of difference equations |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Martynyuk, AA |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.05.065 |
Issue | 5 |
Section | Mechanics |
Pagination | 65-69 |
Date Published | 5/2014 |
Language | Russian |
Abstract | For a set of difference equations generated by the discretization of a set of differential equations with a Hukuhara derivative, the comparison principle with a Lyapunov matrix function and the sufficient conditions for the stability of a set of trajectories are established. The analysis is carried out on the basis of the Lyapunov matrix function with a special structure. |
Keywords | difference equations, stability, trajectories |
1. Bhaskar T. G., Shaw M. Dynamic Systems and Applications, 2004, 13, No. 3/4: 479–485.
2. Lakshmikantham V., Leela S., Martynyuk A. A. Stability analysis of nonlinear systems. New York: Marcel Dekker, 1989.
3. Aleksandrov A. Yu., Zhabko A. P. Stability of difference systems. St.-Petersburg: SPb gos. un-t, 2003 (in Russian).
4. Martynyuk A. A. Stability of motion. The role of multicomponent Liapunov’s functions. Cambridge: Cambridge Scientific Publishers, 2007.