应用泛函分析学报
應用汎函分析學報
응용범함분석학보
ACTA ANALYSIS FUNCTIONALIS APPLICATA
2004年
4期
316-321
,共6页
非均质Euler-Bernouli梁%非线性边界反馈镇定%非线性半群%能量摄动法
非均質Euler-Bernouli樑%非線性邊界反饋鎮定%非線性半群%能量攝動法
비균질Euler-Bernouli량%비선성변계반궤진정%비선성반군%능량섭동법
nonuniform Euler-Bernoulli beam%nonlinear boundary feedback stabilization%nonlinear semigroups%energy perturbed approach
讨论具有非线性耗散边界反馈的非均质Euler-Bernoulli梁的镇定问题.首先利用非线性半群理论和能量摄动方法,证明了文中所给出的非线性耗散边界反馈控制可以镇定闭环系统的能量,并导出了闭环系统的能量的衰减速度.
討論具有非線性耗散邊界反饋的非均質Euler-Bernoulli樑的鎮定問題.首先利用非線性半群理論和能量攝動方法,證明瞭文中所給齣的非線性耗散邊界反饋控製可以鎮定閉環繫統的能量,併導齣瞭閉環繫統的能量的衰減速度.
토론구유비선성모산변계반궤적비균질Euler-Bernoulli량적진정문제.수선이용비선성반군이론화능량섭동방법,증명료문중소급출적비선성모산변계반궤공제가이진정폐배계통적능량,병도출료폐배계통적능량적쇠감속도.
We give a note on the stabilization problem of nonuniform Euler-Bernoulli beam with some nonlinear boundary feedback controls. By virtue of nonlinear semigroup theory, energyperturbed approach and exponential multiplier method, we show that the vibration of the beam under the proposed control action decays exponentially or in negative power of time t as t →∞.
