Title :
The algebraic criterion for stability of difference equations with three delays
Author :
Xin, Yu ; Yan, Zhong
Author_Institution :
Sch. of Math. & Stat., Wuhan Univ., Wuhan
Abstract :
This paper studies the stability of linear difference equations with three delays which are rationally linear independent. Based on the generalized Sturm criterion and the Sylvester resultant technique, algebraic criterion for stability of difference systems will be obtained. As an application, a numerical example is given to demonstrate the validity of this stability criterion.
Keywords :
algebra; asymptotic stability; delays; difference equations; Sylvester resultant technique; algebraic criterion; delays; difference equations stability; generalized Sturm criterion; linear difference equations; Asymptotic stability; Delay lines; Difference equations; Educational institutions; Mathematics; Polynomials; Stability criteria; Statistics; Sufficient conditions; Algebraic criterion; Delay; Difference equation; Stability;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605522
