The Stability for a One-Dimensional Unstable Heat Equation with Nonlinear Boundary Uncertainty Disturbance

摘要：

　　In this note,we are concerned with the boundary stabilization of a one-dimensional heat equation with the external disturbance flowing to the control end.The nonlinear uncertainty is estimated in terms of the output,and then canceled by its estimates.We show that this strategy is valid when the derivative of the disturbance is also bounded.The numerical simulation validates the effectiveness of this method.

关键词： Heat equation Nonlinear uncertainty Stability Boundary control High-gain

作者: LIU Jun-Jun WANG Jun-Min

作者单位: School of Mathematics and Statistics,Beijing Institute of Technology,Beijing 100081,P.R. China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2641-2645

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）