Asymptotic stabilization of a flexible beam with an attached mass
Анотація
УДК 517.977
АСИМПТОТИЧНА СТАБIЛIЗАЦIЯ ГНУЧКОЇ БАЛКИ З ПРИКРIПЛЕНОЮ МАСОЮ
Розглянуто математичну модель шарнiрно опертої балки Ейлера – Бернуллi з прикрiпленою на пружинi масою.
На модель дiють розподiленi керуючi впливи п’єзоприводiв та зосереджена в точцi сила. Розглянуто питання про асимптотичну поведiнку розв’язкiв цiєї системи при застосуваннi лiнiйного керування зi зворотним зв’язком.
Доведено передкомпактнiсть траєкторiй операторного зображення рiвнянь руху зi зворотним зв’язком. Отримано достатнi умови сильної асимптотичної стiйкостi тривiального стану рiвноваги.
Посилання
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