报告人：张旭（四川大学 教授）

报告题目：Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Constraints.

报告摘要：Motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, we introduce the notion of finite codimensional (exact/approximate) controllability. Some equivalent criteria on the finite codimensional controllability are presented. In particular, the finite codimensional exact controllability is reduced to deriving a Gårding type inequality for the dual system, which is new for many evolution equations. This inequality can be verified for some concrete problems (and hence applied to the corresponding optimal control problems), say the wave equations with both time and space dependent potentials. Moreover, under some mild assumptions, we show that the finite codimensional exact controllability of this sort of wave equations is equivalent to the classical geometric control condition. (Jointly with Xu Liu and Qi Lü).

报告时间：2018年11月18日（星期日）上午 8:30—9:15

报告地点：科技楼南楼602