Stabilisation for a wave equation with distributed time delay in the internal input
作者单位：Department of MathematicsTianjin University College of ScienceCivil Aviation University of China
会议名称：《第36届中国控制会议》
会议日期：2017年
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the Natural Science Foundation of China[Grant Number:NSFC-61174080 61573252 61503385 61503275]
关 键 词：wave equation input time delay exact observability exponential stabilization
摘 要：This paper analyzes the stabilization problem of a wave equation subject to distributed time delay in the internal *** on a partial state predictor, we design a feedback control signal which is shown to stabilize an undelayed system by the spectral analysis and the Hilbert uniqueness method. The stability of the original system under the feedback control is obtained via the relation between the original system and the undelayed system in terms of stability.