Title :
The Stability of Linear Neutral Delay Differential Systems
Author :
Yu, Xin ; Liu, Kangsheng ; Li Ya
Author_Institution :
Lab. of Inf. & Optimization Technol., Zhejiang Univ., Ningbo
Abstract :
This paper studies the stability of linear neutral delay differential systems. Necessary and sufficient algebraic condition for delay-independent stability is given. According to this criterion, to show the asymptotic stability of a neutral system, it suffices to check whether some polynomials are Hurwitz stable and whether a polynomial has 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; linear systems; Hurwitz stability; algebraic condition; asymptotic stability; delay-independent stability; linear neutral delay differential system; stability criterion; Asymptotic stability; Delay effects; Delay lines; Delay systems; Laboratories; Mathematics; Neural networks; Polynomials; Stability criteria; System testing; Delay-independent stability; Neutral system; Time delay; Uniformly asymptotic stability;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712399
