作者:Dongxia Zhao;Yuting Pang;Yaping Guo;Junmin Wang (School of Mathematics, North University of China, Taiyuan, Shanxi Province, China School of Mathematics, North University of China, Taiyuan, Shanxi Province, China School of Mathematics, Shanxi University, Taiyuan, China School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China)
出处:Advances in Mechanical Engineering 2023
关键词:X-2 HYPERBOLIC SYSTEMS;SPECTRAL-ANALYSIS;STABILIZATION;POSITION;EQUATION
摘要:This paper investigates the stability of a star-shaped network of open channels under the position and delayed position (PDP) feedback controller. Fir ...
作者:Lu Lu;Yu-Long Zhang;Jun-Min Wang;Dong-Xia Zhao (1Science College, Shijiazhuang University, No.288, Zhufeng street, Shijiazhuang high tech Development Zone, 050035, Shijiazhuang, China;2School of Mathematics and Statistics, Beijing Institute of Technology, No.5 Zhongguancun South Street, Haidian District, 100081, Beijing, China;3School of Science, North University of China,;3Xueyuan Road, 030051, Taiyuan, China)
出处:International Journal of Control, Automation and Systems 2023
关键词:ADRC;boundary disturbances;ODE-wave system;Riesz basis property;viscous damping
摘要:This paper is devoted to stabilizing an ODE-PDE coupled system with boundary disturbance, where the PDE is chosen to be a wave equation with viscous d ...
作者:Xiao-Hui Wu;Jun-Min Wang
出处:2022 34th Chinese Control and Decision Conference (CCDC) 2022
关键词:Couplings;Adaptation models;Adaptive systems;Dynamics;Force;Numerical simulation;Stability analysis
摘要:In this paper, we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end. ...
作者:Fei Wang;Jun-Min Wang;Pei-Pei Wang (1School of Basic Education, Beijing Institute of Graphic Communication, Beijing, 102600, PR China;2School of Mathematics and Statistics & Key Laboratory of Mathematical Theory and Computation in Information Security, Beijing Institute of Technology, Beijing 100081, PR China;3Mathematics Department, Taiyuan Normal University, Jinzhong, Shanxi, 030619, PR China)
出处:Journal of Mathematical Analysis and Applications 2023
关键词:Chaos;2D wave equation;Method of characteristics;Energy dissipation boundary condition
摘要:In this paper, we consider the chaotic dynamical behavior of a two-dimensional wave equation due to an energy-injecting boundary condition and an ener ...
作者:Bao-Zhu Guo;Jun-Min Wang;Cui-Lian Zhou (1Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100080, P.R. China;bzguo@iss.ac.cn School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa.;2Corresponding author: Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China;wangjc@graduate.hku.hk;3Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China.)
出处:International Review of the Red Cross 2008
关键词:Rayleigh beam;collocated control;spectral analysis;exponential stability;null;null;null;null
摘要:We study the dynamic behavior and stability of two connected Rayleigh beams that are subject to, in addition to two sensors and two actuators applied ...
作者:Zhang, Yulong1;Zhu, Min2;Li, Donghai3;Wang, Junmin1; (1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing, 100084, China;3China State Key Laboratory of Power Systems and Generation Equipment, Department of Energy and Power Engineering, Tsinghua University, Beijing, 100084, China)
出处:Systems and Control Letters 2021
关键词:DISTRIBUTED-PARAMETER SYSTEMS;STABILITY;BEAM
摘要:In this paper, we consider the stabilization of a wave equation with an unknown anti-stable injection on the left boundary and the control input on th ...
作者:Goong Chen1,2,3;
出处:The Journal of Geometric Analysis 2023
关键词:Animal motions;Eigenfunction expansions;External forcing;Frequency matching;Sensors
摘要:This paper begins with solving the linear elastodynamic equation with forcing by expanding it into Fourier series. We then proceed to prove the conser ...
作者:Liu, Weiwei1;Wang, Junmin1; (1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China)
出处:International Journal of Adaptive Control and Signal Processing 2021
关键词:adaptive control;error feedback;nonlocal term;output regulation
摘要:In this article, we develop the adaptive error feedback regulator design for one-dimensional heat equation with a nonlocal term and disturbances which ...
作者:Guo, Yaping1;Wang, Junmin2;Zhao, Dongxia3; (1School of Mathematical Sciences, Shanxi University, Shanxi, Taiyuan, China;2School of Mathematics and Statistics, Key Laboratory of Mathematical Theory and Computation in Information Security, Beijing Institute of Technology, Beijing, China;3Department of Mathematics, North University of China, Taiyuan, China)
出处:Acta Applicandae Mathematicae 2022
关键词:EULER-BERNOULLI;STABILIZATION;DECAY;SYSTEM;ENERGY
摘要:This paper is devoted to the energy decay estimates for the coupled wave-plate system with local frictional damping in a bounded domain. The frictiona ...
作者:Jiake Sun,Junmin Wang (School of Mathematics and Statistics Beijing Institute of Technology)
出处:第35届中国控制与决策会议 2023
关键词:fractional-order cascaded system;backstepping method;sliding mode control;input-to-state stability
摘要:In this paper,we consider the input-to-state stabilization of a fractional-order ODE-PDE cascaded system with disturbances in all channels.By applying ...