Preliminary Results on Positizable Systems
Great achievements have been made in the field of positive systems in the past two decades and many elegant properties of positive systems have been revealed.Among all the nice properties,stability of delayed positive systems is of great interest: It is not affected by the magnitude of delays.Though positive systems have very nice properties,these properties cannot be applied widely since positive systems are just a little portion among all dynamic systems.This paper tries to consider a more broad class of systems-positizable systems whose stability is also not affected by the size of delays.Positizable systems means a class of systems which are non-positive themselves but can be transformed into positive systems by means of an invertible linear transformation.Generally speaking,both judging if a system is positizable and realizing positization are very difficult.This paper first discusses these two questions and focuses on some preliminary cases.Some necessary and sufficient conditions for judging if a system is diagonally positizable are established,several cases are also proposed where systems are not positizable.
Positive Systems Positizable Systems Sign-Preserving Systems Stability
Xingwen Liu
College of Electrical and Information Engineering,Southwest University for Nationalities of China,Chengdu,Sichuan,610041,China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
5054-5059
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）