BOUNDARY FEEDBACK STABILIZATION OF BOUSSINESQ EQUATIONS

被引：0
|
作者：
刘汉兵
肖海军
机构：
[1] SchoolofMathematicsandPhysics,ChinaUniversityofGeosciences
来源：
Acta Mathematica Scientia(English Series) | 2018年 / 38卷 / 06期
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D O I：
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中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
摘要：
The aim of this work is to design oblique boundary feedback controller for stabilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain in R2. Two kinds of such feedback controller are provided, one is the proportional stabilizable feedback control, which is obtained by spectrum decomposition method, while another one is 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.
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页码：1881 / 1902
页数：22
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