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

• Datum: 1998
• Hauptverfasser: Kaiser, C., Korenevsky, D. G., Кайзер, К., Кореневский, Д. Г.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4921
• Назва журналу: 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...