摘要
The aim of this work is to design oblique boundary feedback controller for sta-bilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain inR^2. Two kinds of such feedback controller are provided, one is the proportional stabilizablefeedback control, which is obtained by spectrum decomposition method, while another oneis constructed via the Ricatti operator for an infinite time horizon optimal control problem.An example of periodic Boussinesq flow in 2-D channel is also given.
The aim of this work is to design oblique boundary feedback controller for sta-bilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain inR^2. Two kinds of such feedback controller are provided, one is the proportional stabilizablefeedback control, which is obtained by spectrum decomposition method, while another oneis constructed via the Ricatti operator for an infinite time horizon optimal control problem.An example of periodic Boussinesq flow in 2-D channel is also given.
作者
刘汉兵
肖海军
Hanbing LIU , Haijun XIAO(School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China)
基金
This work was supported by NSFC (11401544).
