Title
Small-gain stability conditions for linear systems with time-varying delays
Abstract
In this paper we show that a variety of stability conditions, both existing and new, can be derived for linear systems subject to time-varying delays in a unified manner in the form of scaled small-gain conditions. From a robust control perspective, our development seeks to cast the stability problem as one of robust stability analysis, and the resulting stability conditions are also reminiscent of robust stability bounds typically found in robust control theory. The development is built on the well-known conventional robust stability analysis, requiring essentially no more than a straightforward application of the small gain theorem. The derived conditions have conceptual appeal, and they can be checked using standard robust control toolboxes.
Year
DOI
Venue
2015
10.1016/j.sysconle.2015.04.009
Systems & Control Letters
Keywords
Field
DocType
Delay systems,Time-varying delays,Small-gain conditions
Mathematical optimization,Linear system,Control theory,Stability conditions,Robust control,Small-gain theorem,Mathematics
Journal
Volume
ISSN
Citations 
81
0167-6911
4
PageRank 
References 
Authors
0.46
13
3
Name
Order
Citations
PageRank
Jing Zhu1126.21
Tian Qi2344.10
Jie Chen3647124.78