报告人： 矫立国 博士  苏州大学

报告题目：Multi-objective optimization problems with SOS-convex polynomials over an LMI constraint

报告时间：2019/7/1 (周一)下午4：00-5：00      地点：创新园大厦A1101

报告校内联系人：郭 峰 副教授       联系电话：84708351-8088

报告摘要：

Consider Multi-objective optimization problems (MP) with SOS-convex polynomials over an LMI constraint. In this talk, we aim to find efficient solutions of the problem (MP). We do this by using two scalarization approaches, that is, the -constraint method and the hybrid method. More precisely, we first transform the problem (MP) into its scalar forms by the \epsilon-constraint method and the hybrid method, respectively. Then, strong duality results, between each formulated scalar problem and its associated semidefinite programming dual problem, are given, respectively. Moreover, we show that the optimal solution to the proposed (two) scalar problems can be found by solving its associated single semidefinite programming problem, under some suitable regularity conditions. As a consequence, we prove that finding efficient solutions to the problem (MP) can be done by employing the two scalarization approaches. Besides, some nontrivial numerical examples are also given to show how to find efficient solutions to the problem (MP).

报告人简介：矫立国博士于2018年在韩国国立釜庆大学应用数学专业取得博士学位，目前在苏州大学数学院做博士后工作，其主要研究领域为多目标规划及鲁棒优化等方面，在相关优化问题最优性条件及解的存在性等问题上做出了很多有意义的工作，目前已在国际权威杂志上发表论文10余篇。

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2019/6/27