典型文献
Boundary Control of Coupled Wave Systems with Spatially-Varying Coefficients
文献摘要：
This paper considers the stabilization of the coupled wave systems with spatially-varying coefficients.The authors design a state feedback controller by backstepping method.In contrast to the previous work in the literature,the kernel equations become more complicated and the main difficulty lies in proving the existence and uniqueness of the solution to the kernel equations.Firstly,using the backstepping approach,the authors verify the kernel equations,which is a system of coupled hyperbolic equations with spatially-varying coefficients.Then,the existence and uniqueness of the kernel matrices is obtained.Finally,the authors use a Lyapunov function to get the exponential stabilization of the closed-loop system.A numerical example is presented to illustrate the effectiveness of the proposed controller.
文献关键词：
中图分类号：
作者姓名：
FENG Xiaodan;ZHANG Zhifei
作者机构：
School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China;Hubei Key Laboratory of Engineering Modeling and Scientific Computing,Huazhong University of Science and Technology,Wuhan 430074,China
文献出处：
引用格式：
[1]FENG Xiaodan;ZHANG Zhifei-.Boundary Control of Coupled Wave Systems with Spatially-Varying Coefficients)[J].系统科学与复杂性学报（英文版）,2022(04):1310-1329
A类：
B类：
Boundary,Control,Coupled,Wave,Systems,Spatially,Varying,Coefficients,This,paper,considers,stabilization,coupled,wave,systems,spatially,varying,coefficients,authors,design,state,feedback,controller,by,backstepping,method,In,contrast,previous,work,literature,kernel,equations,become,more,complicated,main,difficulty,lies,proving,existence,uniqueness,solution,Firstly,using,approach,verify,which,hyperbolic,Then,matrices,obtained,Finally,use,Lyapunov,function,get,exponential,closed,loop,numerical,example,presented,illustrate,effectiveness,proposed
AB值：
0.622996
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