Localization of the limit set of trajectories of the Euler-Bernoulli equation with control

• Datum: 2008
• Hauptverfasser: Zuev, A. L., Зуєв, А. Л.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3147
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate a differential equation in a Hilbert space that describes vibrations of the Euler-Bernoulli elastic beam with feedback control. The relative compactness of positive semitrajectories of the considered equation is proved. Constructing a Lyapunov functional in explicit form and using the...