标题:Boundary control for exponential stabilization of nonlinear distributed parameter systems modeled by PIDEs
作者:Yang C.; Huang T.; Li Z.; Zhang A.; Qiu J.; Alsaadi F.E.
作者机构:[Yang, C] School of Information Science and Technology, Linyi University, Linyi, 276005, China, Key Laboratory of Complex Systems and Intelligent Comp 更多
通讯作者:Yang, C(yangchengdong@lyu.edu.cn)
通讯作者地址:[Yang, C] School of Information Science and Technology, Linyi UniversityChina;
来源:IEEE Access
出版年:2018
卷:6
页码:47889-47896
DOI:10.1109/ACCESS.2018.2867343
关键词:Boundary control; partial integro-differential equation systems
摘要:This paper studies boundary control for exponential stabilization for a distributed parameter system, modeled by semi-linear parabolic partial integro-differential equations (PIDEs) in a 1-D spatial domain. A boundary controller based on boundary measurement is designed for exponential stabilization of the PIDE system, and it is implemented by controlling and measuring only one endpoint of the 1-D spatial domain. With the Lyapunov direct method and Wirtinger's inequality, a sufficient condition for exponential stabilization of the PIDE system with a given decay rate is investigated. Dealing with a special case of PIDE systems, one lemma called Yang inequality is proposed, and a new less conservative sufficient condition is investigated. An example with two cases is given to show the effectiveness and less conservativeness of the proposed methods by using Yang inequality. © 2013 IEEE.
收录类别:SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052624208&doi=10.1109%2fACCESS.2018.2867343&partnerID=40&md5=1bfdfaeac1b7df0e6da637ed686a0309
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