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.
作者
王倩倩
WANG Qian-qian(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
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
关键词
结构阻尼
弹性系统
耗散算子
压缩半群
渐近稳定
structural damping
elastic system
dissipative operator
compressing semigroup
asymptotically stable