Title
Robust stability criteria for uncertain systems with interval time-varying delay based on multi-integral functional approach.
Abstract
This paper is concerned with the robust stability analysis for uncertain systems with interval time-varying delay. In order to make full use of the delay information, a novel Lyapunov–Krasovskii functional (LKF) containing single, double, triple and quadruple integral terms is introduced, and a triple-integral state variable is also used. Then, by using the Wirtinger-based single and double integral inequality, introducing some positive scalars, the derivative of the constructed LKF is estimated more accurately. As a result, some stability criteria are derived, which have less conservatism and decision variables. Numerical examples are also given to show the effectiveness of the proposed method.
Year
DOI
Venue
2018
10.1016/j.jfranklin.2017.11.008
Journal of the Franklin Institute
Field
DocType
Volume
Decision variables,Monad (category theory),Functional approach,Control theory,Scalar (mathematics),State variable,Multiple integral,Uncertain systems,Mathematics
Journal
355
Issue
ISSN
Citations 
2
0016-0032
3
PageRank 
References 
Authors
0.40
21
5
Name
Order
Citations
PageRank
Wei Qian1131.08
Manman Yuan230.40
Lei Wang3356.07
Yonggang Chen426720.44
Junqi Yang5749.23