Stabilization of Spatially Non-causal Reaction-diffusion Equation

摘要：

This paper addresses boundary control to stabilize a reaction-diffusion equation, in which heat source depends on the temperature of the whole space. A new backstepping transformation of two kernels is introduced. Mathematical tricks are employed to solve the kernel equations, thus, a control law is obtained speci.cally. The inverse transformation is derived, and stability of the closed loop established. Three .gures show simulation results.

关键词： Reaction-diffusion equation Spatially noncausal Boundary control Stability

作者: Chunli Guo Chengkang Xie

作者单位: School of Mathematics andSystem Science, Southwest University, Chongqing 400715, China. School of Mathematics and System Science, Southwest University, Chongqing 400715, China.

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1828-1832

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）