报告题目：Some properties of operator-valued negative imaginary function

主讲人：刘浏教授（大连理工大学）

报告时间：2023年3月31日（周五）下午15:30-17:00

报告地点：数理楼224会议室

报告摘要：In this talk, we introduce a generalized definition of irrational operator-valued negative imaginary functions, which is described in terms of the

complex symmetric operator. In particular, the matrix-valued symmetric negative imaginary transfer function can be seen as an operator-valued complex symmetric negative transfer function defined on a finite-dimensional Hilbert space. Applying the frequency-domain properties, we present the negative imaginariness by the sign conditions of imaginary axis and infinity point. In addition, we list some spectral properties of negative imaginary functions, which include point spectrum, continuous spectrum, residual spectrum and approximate spectrum.

个人简历：刘浏，大连理工大学数学科学学院教授，博士生导师，主要从事算子理论与控制论的交叉研究，在Syst. Control. Lett., IMA J. Math Control等期刊发表论文二十余篇，主持在研JKW专项项目1项，国家自然基金面上项目1项，完成面上项目1项青年项目1项和中国博士后面上基金1项。 入选大连理工大学星海学者培育计划，辽宁省百千万人才工程万层次，大连市科技之星。