DocumentCode
2569666
Title
The algebraic criterion for delay-independent stability of linear differential systems with two delays
Author
Yu, Xin ; Zhong, Yan ; Li, Ya
Author_Institution
Ningbo Inst. of Technol., Zhejiang Univ., Ningbo
fYear
2008
fDate
2-4 July 2008
Firstpage
4675
Lastpage
4679
Abstract
This paper studies the stability of linear retarded differential systems with two delays. Necessary and sufficient algebraic condition for delay-independent stability is given. According to this criterion, to show the asymptotic stability of this system, it suffices to check whether one polynomials is Hurwitz stable and wether some polynomials have real roots, which are very easy to be tested. An example is given to illustrate the stability criterion.
Keywords
algebra; asymptotic stability; delay-differential systems; delays; linear systems; polynomials; Hurwitz stable; algebraic criterion; delay-independent asymptotic stability; linear retarded differential system; polynomial; Asymptotic stability; Delay effects; Delay lines; Delay systems; Educational institutions; Mathematics; Polynomials; Stability criteria; Statistics; System testing; Algebraic Criterion; Delay-independent Stability; Retarded Differential Systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-1733-9
Electronic_ISBN
978-1-4244-1734-6
Type
conf
DOI
10.1109/CCDC.2008.4598217
Filename
4598217
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