报告题目：Finite codimensional controllability of evolution equations

报 告 人：柳絮教授 东北师范大学数学与统计学院

报告时间：2019年6月3日10:20-11:00

报告地点：数学楼第二报告厅

报告摘要：

In this talk, the finite codimensional controllability for evolution equations is introduced. This new controllability is shown to be equivalent to finite codimensionality for some set. Therefore, it may be used to verify Pontryagin's maximum principle for some optimal control  problems  with state constraints. Some equivalent criteria on it are presented. As an example, the finite codimensional controllability for wave equations is proved to be equivalent to geometric control condition. This method is also applicable to the study of some stochastic optimal control problems and general abstract infinite-dimensional optimization problems. This is a joint work with Qi Lv and Xu Zhang.

报告人简介：

  柳絮，东北师范大学数学与统计学院教授，博士生导师，入选国家“万人计划”青年拔尖人才。1999年和2002年于东北师范大学分别获得学士和硕士学位，2007年于浙江大学获得博士学位。主要从事分布参数系统控制和随机系统控制的研究工作。要工作发表在SIAM Journal on Control and Optimization、Journal of Functional Analysis、Journal of Differential Equations等期刊上。