六合联盟

六合联盟:学术报告:Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

报告人:刘永建教授玉林师范学院

报告时间:2024413 16:00-17:30

报告地点:#腾讯会议:931-271-644

报告摘要:This talk introudces a nonlinear optimal control problem governed by a complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history-dependent operators in the framework of an evolution triple of spaces. First, we have proven a generalized existence and uniqueness theorem to a class of dynamic variational-hemivariational inequalities, which extends the recent results established by Han-Migórski-Sofonea and Migórski-Bai. Then, an optimal control problem driven by a (DVHVI) is discussed and an existence theorem is delivered. Finally, we explore the sensitivity properties of the optimal control problem under the consideration depending on the initial data $\xi\in H$ and some further parameter $\lambda\in E$. This talk is based on joint works with Z. Liu and N.S. Papageorgiou.

报告人简介:刘永建,玉林师范学院副校长,1998年湘潭大学数学专业毕业,于2010年华南理工大学应用数学专业获博士学位。广西优秀教师,广西高校卓越学者,系统科学广西一流学科负责人,曾获广西科学技术奖自然科学奖二等奖、三等奖各1项,广西高校自治区级教学成果奖二等奖1项。主要从事微分方程定性/稳定性理论、混沌与分支理论、微分包含理论的研究。在混沌复杂性分析、吸引子几何解析等方面做出大量工作,近期在具有不连续结构微分系统的定性分析方法研究上获得了一些新结果。主持获得国家自然科学基金项目4项、广西自然科学基金项目3其中重点项目1。

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