STABILIZATION OF EULER-BERNOULLI BEAM WITH A NONLINEAR LOCALLY DISTRIBUTED FEEDBACK CONTROL  

作　　者：Qingxu YAN Shuihung HOU Lanlan ZHANG 

机构地区：[1] Information Engineering School, China Geosciences University, Beijing 100083, China [2] Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China

出　　处：《Journal of Systems Science & Complexity》2011年第6期1100-1109,共10页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Science Foundation of China under Grant Nos. 10671166 and 60673101.

摘　　要：This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t →∞.

关 键 词：Energy perturbed method nonlinear locally distributed feedback control nonlinear semigroups polynomial multiplier uniform Euler-bernoulli beam. 

分 类 号：O231.3[理学—运筹学与控制论] O415.5[理学—数学]