Title
Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays
Abstract
This paper considers the robust stability problem for uncertain neutral systems with discrete and distributed delays. Using new augmented Lyapunov–Krasovskii (L–K) functional and some integral inequalities, the less conservative stability and robust stability conditions are well established in terms of linear matrix inequalities (LMIs). Different from the existing L–K functionals, the constructed L–K functional in this paper contains some interconnected terms, which reflect the relationships between discrete delay, neutral delay and distributed delay, and contribute to reduce the possible conservatism. As a special case, stability and robust stability conditions are also proposed in this paper for uncertain linear systems with discrete and distributed delays. Finally, numerical examples illustrate the effectiveness and reduced conservatism of the proposed conditions in this paper.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.03.040
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Linear system,Control theory,Matrix (mathematics),Stability conditions,Neutral systems,Mathematics,Special case
Journal
352
Issue
ISSN
Citations 
7
0016-0032
8
PageRank 
References 
Authors
0.45
16
3
Name
Order
Citations
PageRank
Yonggang Chen126720.44
Wei Qian2916.67
Shu-Min Fei3115096.93