%0 Journal Article %T Feedback Stabilization of a Class of Parabolic Systems with Neumann Boundary Conditions
具有Neumann边界的抛物型方程组的反馈能稳性 %A Dong Wangyuan %A
董旺远 %J 数学物理学报(A辑) %D 2008 %I %X In this paper, the author studies internal stabilization of steady-state solutions to a class of semi-linear parabolic systems including three equations via finite-dimensional feedback controllers. The main idea is to use different internal controllers to stabilize different steady-state solutions. The controllers are provided by considering LQ problems associated with the linearized systems at steady-state solutions, and they are added to one, two or three equations, depending on the considered steady-state solutions. %K Stabilizationzz %K Parabolic systemzz %K Steady-state solutionzz %K Riccati equationzz %K Feedback controllerzz
能稳性 %K 抛物系统 %K 平衡解 %K Riccati方程 %K 反馈控制 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=B9830B71B3D654033F6B8FC5C6E12D40&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=6DAA05ECA4CD5075&eid=1529CB0C2A6A7E90&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=13