Hilbert空间中具有结构阻尼的弹性系统的渐近稳定性  

Asymptotic stability of an elastic system with structural damping in a Hilbert space

作　　者：王倩倩 WANG Qian-qian(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《陕西理工大学学报（自然科学版）》2021年第1期79-85,共7页Journal of Shaanxi University of Technology:Natural Science Edition

摘　　要：在Hilbert空间中研究了具有结构阻尼的线性弹性系统的渐近稳定性,利用算子半群理论探究了该系统相应的解半群是压缩C 0-半群及指数稳定的C 0-半群的充分条件。建立了该系统的稳定性理论,推广和发展了这方面已有的工作。In this paper,the asymptotic stability of a linear elastic system with structural damping is studied in Hilbert space H,and the sufficient condition that the corresponding solution semigroup of the system is a compressing C 0-semigroup and an exponentially stable C 0-semigroup is explored by using the operator semigroup theory.The stability theory of the system is established,and the existing work in this field is extended and developed.

关 键 词：结构阻尼 弹性系统 耗散算子 压缩半群 渐近稳定 

分 类 号：O175.23[理学—基础数学]