Title | ||
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Robust stability criteria for uncertain systems with interval time-varying delay based on multi-integral functional approach. |
Abstract | ||
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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 |
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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 Qian | 1 | 13 | 1.08 |
Manman Yuan | 2 | 3 | 0.40 |
Lei Wang | 3 | 35 | 6.07 |
Yonggang Chen | 4 | 267 | 20.44 |
Junqi Yang | 5 | 74 | 9.23 |