欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
Matrix root clustering: history, methods and results
时间  Datetime
2017-12-05 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Volha Kushel
单位  Affiliation
Shanghai University
邀请人  Host
Sergei Kalmykov
报告摘要  Abstract

In this talk, we consider the problem of matrix and polynomial root clustering in a region D of the complex plane, which has been widely investigated in the last decades. This problem is also referred to as matrix (polynomial) D-stability. Many properties of system dynamics may be defined via D-stability in a specific region. Here, we give a historical overview of the subject. We mention some problems of system and control theory which lead to the study of D-stability as well as the connected problems of robust D-stability and D-stabilization (known also as D-pole placement or pole assignment problem). The most studied classes of the stability regions, including the classical examples, i.e. the left-hand side of the complex plane and the unit disk, are considered. For studying sophisticated regions, a collection of mappings (e.g. Schwarz–Christoffel transformation) of the complex plane is used. We provide the examples of stability regions having special requirements (e.g. LMI regions). Then we consider a number of results which generalize classical stability theorems.