切换奇异系统的正性和稳定性

报告题目:切换奇异系统的正性和稳定性

报 告 人:丁修勇 副教授(西南交通大学)

报告时间:2019/7/14(星期天)上午10:30

报告地点:7教B区105会议室


报告摘要:In this talk, we discuss the positivity and stability of switched descriptor systems. First,by introducing a Drazin-inverse-based projector which takes a simpler form than the traditional matrix-decomposition- based ones,the state consistency of switched descriptor systems is guaranteed. Then, regarding the fact that switched  descriptor systems may not be positive even if all individual subsystems are positive, two different definitions of  positivity are introduced and a complete characterization is provided. The stability issue is also addressed and two  checkable approaches are proposed, which are formulated as a set of linear matrix inequality problems and linear  programming problems respectively.


专家简介:丁修勇,男,西南交通大学数学学院,副教授。2012年6月在电子科技大学获理学博士学位。2015年12月至2016年12月在美国圣母大学访问。发表SCI检索论文10余篇。