Bilinear Control for Global Controllability of the Parabolic-Elliptic Equations

摘要：

In the present paper we establish the global approximate controllability of the parabolic-elliptic equations, which are governed in a bounded domain by a pair of controls:the traditional internal either locally distributed or lumped control; the lumped control entering the system as a time-dependent coefficlent. The motivation for the latter is due to the well-known lack of global controllability properties for this kind of the pdes when they are steered solely by former controls. Our approach involves an asymptotic technique allowing us to eparate and combine the impacts generated by the above-mentioned two types of controls. In particular, the addition of bilinear control allows us to reduce the use of the additive one to the local controllability technique only.

关键词： parabolic-elliptic equations bilinear control lumped control asymptotic analysis

作者: Xiju Zong Xingong Cheng

作者单位: School of Control Science and EngineeringUniversity of JinanJinan, P. R. China School of Control Science and Engineering University of Jinan Jinan, P. R. China

会议类型: 国际会议

会议名称: 2009 Ninth International Conference on Hybrid Intelligent Systems(第九届混合智能系统国际会议 HIS 2009)

会议地点: 沈阳

会议语种:英文

页码: 1-5

在线出版日期: 2009-08-12（万方平台首次上网日期，不代表论文的发表时间）