On the stability of trajectories of a set of difference equations

Authors

  • A.A. Martynyuk

DOI:

https://doi.org/10.15407/dopovidi2014.05.065

Keywords:

difference equations, stability, trajectories

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.

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References

Bhaskar T. G., Shaw M. Dynamic Systems and Applications, 2004, 13, No. 3/4: 479–485.

Lakshmikantham V., Leela S., Martynyuk A. A. Stability analysis of nonlinear systems. New York: Marcel Dekker, 1989.

Aleksandrov A. Yu., Zhabko A. P. Stability of difference systems. St.-Petersburg: SPb gos. un-t, 2003 (in Russian).

Martynyuk A. A. Stability of motion. The role of multicomponent Liapunov’s functions. Cambridge: Cambridge Scientific Publishers, 2007.

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Published

25.02.2025

How to Cite

Martynyuk, A. (2025). On the stability of trajectories of a set of difference equations . Reports of the National Academy of Sciences of Ukraine, (5), 65–69. https://doi.org/10.15407/dopovidi2014.05.065

Issue

No. 5 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

License

Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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