STABILIZATION OF THE WAVE EQUATION WITH INTERIOR INPUT DELAY AND MIXED NEUMANN-DIRICHLET BOUNDARY

doi:10.3934/dcdsb.2016057

	STABILIZATION OF THE WAVE EQUATION WITH INTERIOR INPUT DELAY AND MIXED NEUMANN-DIRICHLET BOUNDARY
	Guo, Yanni 1; Xu, Genqi 2; Guo, Yansha 3,4
	2016-10-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	21 期号:8 页码:2491-2507
摘要	This paper considers the stabilization of a wave equation with interior input delay: mu(1)u(x, t) + mu(2)u(x, t - tau), where u(x, t) is the control input. A new dynamic feedback control law is obtained to stabilize the closed-loop system exponentially for any time delay tau > 0 provided that vertical bar mu(1)vertical bar not equal vertical bar mu(2)vertical bar. Moreover, some sufficient conditions are given for discriminating the asymptotic stability and instability of the closed-loop system.
关键词	Wave equations delay controller design exponential stabilization sufficient conditions
DOI	10.3934/dcdsb.2016057
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11402294] ; National Natural Science Foundation of China[41201410] ; Fundamental Research Funds for the Central Universities[3122015L015]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000388952800006
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/7809
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Guo, Yansha
作者单位	1.Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China 2.Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China 3.Tianjin Univ Technol & Educ, Sch Informat Technol Engn, Tianjin 300222, Peoples R China 4.Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Guo, Yanni,Xu, Genqi,Guo, Yansha. STABILIZATION OF THE WAVE EQUATION WITH INTERIOR INPUT DELAY AND MIXED NEUMANN-DIRICHLET BOUNDARY[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2016,21(8):2491-2507.
APA	Guo, Yanni,Xu, Genqi,&Guo, Yansha.(2016).STABILIZATION OF THE WAVE EQUATION WITH INTERIOR INPUT DELAY AND MIXED NEUMANN-DIRICHLET BOUNDARY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,21(8),2491-2507.
MLA	Guo, Yanni,et al."STABILIZATION OF THE WAVE EQUATION WITH INTERIOR INPUT DELAY AND MIXED NEUMANN-DIRICHLET BOUNDARY".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 21.8(2016):2491-2507.