对抛物型系统精确同步的最优365bet体育在线控制

365bet体育在线:2018-06-03浏览:986编辑:摄影:    通讯员:设置

 

  

报告题目:对抛物型系统精确同步的最优365bet体育在线控制(Minimal time control of exact synchronization for parabolic systems

  

报告365bet体育在线:2018615日,上午930

  

报告地点:理学院一楼会议室

  

报告人:王丽娟教授,武汉大学数学与统计学院。20032月在华中师范大学获得理学博士学位,20033-20052月在中国科学院武汉分院物理与数学研究所从事博士后研究工作,20053月至今在武汉大学数学与统计学院工作,2010年评为教授。曾多次前往香港中文大学,奥地利科学院RICAM研究所,罗马尼亚Iasi大学从事访问研究工作。迄今为止,已主持4项国家自然科学基金项目,多篇文章发表于SAIM Journal on Control and OptimizationAnn. Inst H. Poincare Anal. Non LineaireESAIM: Control, Optimisation and Calculus of VariationsJournal of Optimization Theory and OptimizationJournal of Scientific Computing等期刊。

  

报告内容概况:This work studies a kind of minimal time control problems related to the exact synchronization for a controlled linear system of parabolic equations. Each problem depends on two parameters: the bound of controls and the initial state. The purpose of such a problem is to find a control (from a constraint set) synchronizing components of the corresponding solution vector for the controlled system in the shortest time. In this work,  we build up a necessary and sufficient condition for the optimal time and the optimal control; we also obtain how the existence of optimal controls depends on the above mentioned two parameters. (This is a joint work with Dr. Qishu Yan.)

  

  

 

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