Controllability problems for the string equation

• Datum: 2007
• Hauptverfasser: Fardigola, L. V., Khalina, K. S., Фардигола, Л. В., Халіна, К. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3358
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For the string equation controlled by boundary conditions, we establish necessary and sufficient conditions for 0-and ε-controllability. The controls that solve such problems are found in explicit form. Moreover, using the Markov trigonometric moment problem, we construct bangbang controls that solv...