摘要
研究具有反馈控制力的Timoshenko梁的能量衰减．证明了梁的能量不是一致衰减的．当梁的能量不是一致衰减时,利用初始值的正则性和无阻尼问题的最佳正则性结果,给出了多项式衰减估计．
In this paper, we study the energy decay estimates of a Timoshenko beam which is subject to a pointwise control force. We show that uniform energy decay may not occur. We give explicit polynomial decay estimates valid for regular initial data, when nonuniform energy decay occurs. Our method consists of deducing the decay estimates from observability inequalities for the associated undamped problem via sharp trace regularity results.
出处
《系统科学与数学》
CSCD
北大核心
2006年第1期83-94,共12页
Journal of Systems Science and Mathematical Sciences
基金
杭州电子科技大学科研基金
数学天元青年基金
东北师范大学青年基金资助课题.
