Paper Info
Title
The ellipsoidal bound of reachable sets for linear neutral systems with disturbances
Abstract
In this paper, we consider the problem of finding an ellipsoidal bound of reachable sets for neutral systems with bounded peak disturbances. Up to now, the result related to the ellipsoidal bound of reachable sets was rarely proposed for linear neutral systems. Based on the modified augmented Lyapunov–Krasovskii type functional, we obtain some delay-dependent results expressed in the form of matrix inequalities containing only one non-convex scalar. Furthermore, a modified integral inequality is used to remove the limitation on the variation rate of the delay. Numerical examples are given to indicate significant improvements over some existing results.
Year
DOI
Venue
2011
10.1016/j.jfranklin.2011.07.017
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Ellipsoid,Matrix (mathematics),Mathematical analysis,Scalar (physics),Neutral systems,Mathematics,Bounded function
Journal
348
Issue
ISSN
Citations 
9
0016-0032
15
PageRank 
References 
Authors
0.79
14
2
Name
Order
Citations
PageRank
Changchun Shen1150.79
Shouming Zhong2150.79