A short note on stability of linear time delay systems

被引：0
|
作者：
Medenica, M. S. [1 ]
Debeljkovic, D. Lj. [1 ]
机构：
[1] Polytech Acad, Dept Mech Engn, New Belgrade 11040, Serbia
来源：
Proceedings of the 8th Biennial Conference on Engineering Systems Design and Analysis, Vol 3 | 2006年
关键词：
spiral curve; monotonously; criterion; time delay; graph-analytic; frequency domain;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Our research on stability criteria for linear systems with time delay in a frequency domain has brought in a new stability criterion that belongs to the group of graph-analytical stability criteria. Via the theory of functions with a complex variable, this criterion is based upon Cauchy's theorem of argument and condition that for frequency omega varying from -infinity to +infinity the argument of function f*(j omega,e(j omega iota)) has positive change. In solution, as a graphic interpretation in the f* - plane, a spiral curve is obtained, which possesses some characteristics crucial for the stability of a system with time delay. Through given examples, simplicity and facility of criteria application to different cases of systems are shown.
引用
收藏
页码：19 / 23
页数：5
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