Stability of difference rational systems

• Date: 1999
• Main Authors: Khusainov, D. Ya., Shevelenko, E. E., Хусаинов, Д. Я., Шевеленко, Е. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4628
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method.