报 告 人：丁修勇 副教授（西南交通大学）
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.