Paper Info
Title
New Lyapunov–Krasovskii Functional for Mixed-Delay-Dependent Stability of Uncertain Linear Neutral Systems
Abstract
The robust stability in a class of uncertain linear neutral systems with time-varying delays is studied. Through choosing multiple integral Lyapunov terms and using some novel integral inequalities, a much tighter estimation on derivative of Lyapunov–Krasovskii (L–K) functional is presented and two stability criteria are expressed in terms of linear matrix inequalities, in which those previously ignored information can be considered. In particular, the proposed Lyapunov technique can effectively consider the interconnection between neutral delay and state one. Finally, two numerical examples with comparing results can show the application area and benefits of the proposed conditions.
Year
DOI
Venue
2018
10.1007/s00034-017-0635-1
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Linear neutral systems,Robust stability,Multiple integral Lyapunov functional,Mixed-delay dependence,Partial element equivalent circuit (PEEC)
Lyapunov function,Mathematical optimization,Control theory,Matrix (mathematics),Multiple integral,Neutral systems,Interconnection,Mathematics
Journal
Volume
Issue
ISSN
37
5
1531-5878
Citations 
PageRank 
References 
0
0.34
32
Authors
4
Name
Order
Citations
PageRank
Ting Wang1725120.28
Tao Li231526.00
Guobao Zhang3378.04
Shu-Min Fei4115096.93