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
通讯作者地址：[Yang, C] School of Information Science and Technology, Linyi UniversityChina;
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.