Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

• Date: 1998
• Main Authors: Kaiser, C., Korenevsky, D. G., Кайзер, К., Кореневский, Д. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4921
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the s...