报告题目：Optimal Ergodic Control of Linear Stochastic Differential Equations with Quadratic Cost Functionals Having Indefinite Weights

报 告 人：魏庆萌副教授（东北师范大学）

报告时间：2020年8月22日（周六）9:00-10:00

报告地点：腾讯会议，会议ID: 598 755 885

报告摘要：

An optimal ergodic control problem (EC problem, for short) is investigated for a linear stochastic differential equation with quadratic cost functional. Constant nonhomogeneous terms, not all zero, appear in the state equation, which lead to the asymptotic limit of the state non-zero. Under the stabilizability condition, for any (admissible) closed-loop strategy, an invariant measure is proved to exist, which makes the ergodic cost functional well-defined and the EC problem well-formulated. Sufficient conditions, including those allowing the weighting matrices of cost functional to be indefinite, are introduced for finiteness and solvability for the EC problem. Some comparisons are made between the solvability of EC problem and the closed-loop solvability of stochastic linear quadratic optimal control problem in the infinite horizon. Regularized EC problem is introduced to be used to obtain the optimal value of the EC problem.

报告人简介：

魏庆萌，东北师范大学副教授，吉林省第五批创新拔尖人才，获得国家自然科学面上项目资助、国家自然科学青年基金资助、吉林省优秀青年人才基金资助。2013年博士毕业于山东大学，获山东省优秀博士学位论文，山东大学优秀博士论文。在SIAM Journal on Control and Optimization、ESAIM: Control, Optimisation and Calculus of Variations、Stochastic Processes and their Application等著名国际学术期刊发表学术论文十余篇。

邀请人：王法磊

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