具有局部黏弹性阻尼的弱耦合板-波系统的镇定  

Stabilization of the weakly coupled plate-wave systems with local viscoelastic damping

作　　者：钱嘉祺 章春国[1] QIAN Jiaqi;ZHANG Chunguo(School of Sciences,Hangzhou Dianzi University,Hangzhou 310018,China)

机构地区：[1]杭州电子科技大学理学院,杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2024年第5期65-72,共8页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金项目(61503103)。

摘　　要：研究了具有局部黏弹性阻尼的弱耦合板-波系统的镇定问题。在适当的假设下,在Hilbert空间中,运用线性算子半群的Lumer-Phillips定理得到该系统的适定性;进一步,借助线性算子半群一致指数稳定的频域特征,用分片乘子法结合矛盾讨论证明了弱耦合板-波系统的一致指数稳定性。The stabilization of the weakly coupled plate-wave systems with local viscoelastic damping is studied.Under appropriate assumptions,the well-posedness of the system in Hilbert space is obtained by using the Lumer-Phillips theorem of linear operator semigroups.Furthermore,with the help of the frequency domain characteristics of uniformly exponential stability of linear operator semigroups,the uniformly exponential stability of weakly coupled plate-wave systems is proved by using the piecewise multiplier method combined with the contradiction discussion.

关 键 词：板-波系统 局部黏弹性阻尼 适定性 分片乘子法 一致指数稳定性 

分 类 号：O231.4[理学—运筹学与控制论]