CAJ | 학술논문

对于一端具负载的非均质Timoshenko梁,研究了其边界反馈镇定问题.首先提出了一种边界反馈控制方案,建立了相应的闭环系统的适定性.然后利用乘子法证明了,当两个边界反馈控制同时作用于梁的负载端时,闭环系统是指数稳定的.
대우일단구부재적비균질Timoshenko량,연구료기변계반궤진정문제.수선제출료일충변계반궤공제방안,건립료상응적폐배계통적괄정성.연후이용승자법증명료,당량개변계반궤공제동시작용우량적부재단시,폐배계통시지수은정적.
The boundary feedback consol problem for a nonuniform Timoshenko beam with a load at one end was stud-ied. First, a boundary feedback control scheme was proposed, and the well-posedness of the corresponding closed loop systemwas established. Then by using the multiplier method, it was proved that the closed loop system was exponentially stable if twoboundary feedback controls were applied simultaneously to the beam's tip where the load was carried.