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
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;
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
DOI :
10.1109/CCDC.2008.4598217
