NDLI: Preliminary results on positizable systems

Content Provider	IEEE Xplore Digital Library
Author	Xingwen Liu
Copyright Year	2014
Description	Author affiliation: Coll. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu, China (Xingwen Liu)
Abstract	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.
Starting Page	6054
Ending Page	6059
File Size	125976
Page Count	6
File Format	PDF
ISBN	9789881563873
ISSN	19341768
DOI	10.1109/ChiCC.2014.6895978
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	TCCT, CAA
Subject Keyword	Positive Systems Positizable Systems Asymptotic stability Sign-Preserving Systems Stability Stability criteria Educational institutions Vectors Delays Time-varying systems
Content Type	Text
Resource Type	Article

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