On boundary feedback stabilization of Timoshenko beam with rotor inertia at the tip
Qingxu YAN
LI Wan
Dexing FENG
摘要：The feedback stabilization problem of a nonuniform Timoshenko beam system with rotor inertia at the tip of the beam is studied.First,as a special kind of linear boundary force feedback and moment control is applied to the beam's tip,the strict mathematical treatment,a suitable state Hilbert space is chosen,and the well-poseness of the corresponding closed loop system is proved by using the semigroup theory of bounded linear operators.Then the energy corresponding to the closed loop system is shown to be exponentially stable.Finally,in the special case of uniform beam,some sufficient and necessary conditions for the corresponding closed loop system to be asymptotically stable are derived.
机标关键词：
分类号：O1(数学)
资助基金：国家自然科学基金(60174008)
论文发表日期：2004-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：5( 283-287 )
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