学术报告一

报告人：柳絮 教授（东北师范大学数学与统计学院）

报告题目：Finite Codimensional Controllability of Evolution Equations

报告时间：10月30号上午8:30-9:30

报告地点：25教14楼报告厅

参加人员：教师、研究生、本科生

摘要：In this talk, motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, the notion of finite codimensional exact controllability is introduced. It is indeed equivalent to the finite codimensionality of some set and therefore, can be used to verify Pontryagin's maximum principle. Some equivalent criteria on finite codimensional controllability are given. As examples, a linear quadratic control problem with fixed endpoint state constraints for a wave and heat equations are studied, respectively. Moreover, under some mild assumptions, it is shown that the finite codimensional exact controllability of the wave equation is equivalent to the classical geometric control condition. 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。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。 教育部新世纪优秀人才。2010年获中国自动化学会关肇直奖。在SIAM Journal on Control and Optimization、Journal of Functional Analysis、Journal of Differential Equations等期刊上发表学术论文十余篇。主持国家自然科学基金项目多项。

学术报告二

报告人：张海森 教授（四川师范大学数学科学学院）

报告题目：The first and second order necessary optimality conditions for stochastic optimal controls with state constraints: The variational analysis approach

报告时间：10月30号上午9:30-10:30

报告地点：25教14楼报告厅

参加人员：教师、研究生、本科生

摘要：In this talk, we will discuss the first and second order necessary optimality conditions for stochastic optimal control problems with state constraints. The control regions are assumed to be closed but not necessary convex and the control variables inter into both the drift and the diffusion terms of the control systems. The variational analysis approach is adopted to treat the non-convexity of the control regions. Different from the existed literature, only one dual system is (resp. two dual system are) introduced to derive the desired first order (resp. second order ) necessary conditions. This talk is based on a joint work with Prof. Helene Frankowska (Paris VI) and Prof. Xu Zhang (Sichuan University).

报告人简介：张海森，男，1984年8月生，四川广元人。 2014年6月毕业于四川大学，获运筹学与控制论专业博士学位，现就职于四川师范大学数学科学学院。2014年7月至2018年7月，西南大学讲师，2016年10月至2017年10月，Université Pierre et Marie CURIE (Paris VI) 组合优化实验室博士后。目前已在SCI收录的国际期刊发表学术论文10多篇，部分结果发表在 SIAM J. Control Optim., J. Differential Equations , Sci. China Math等数学期刊上。2017年获 SIAM Review “SIGEST”(具有普遍兴趣的杰出论文)奖。主持国家自然科学基金青年基金一项，中央高校基本科研业务费一项。