Long, Fei, Jiang, Lin ORCID: 0000-0001-6531-2791, He, Yong and Wu, Min
(2019)
Stability analysis of systems with time-varying delay via novel augmented Lyapunov-Krasovskii functionals and an improved integral inequality.
APPLIED MATHEMATICS AND COMPUTATION, 357.
pp. 325-337.
Text
Long fei Applied mathematcis and compututation 2019 Manuscript.pdf - Author Accepted Manuscript Download (121kB) | Preview |
Abstract
Delay-dependent stability analysis of linear systems with a time-varying delay is investigated in this paper. Firstly, instead of developing a Lyapunov–Krasovskii functional (LKF) including augmented non-integral quadratic terms as usual, this paper proposes two augmented-integral-function based LKFs, which can reflect closer relationships among system states. Secondly, to bound the derivative of LKF more accurately, a new integral inequality with several free matrices is developed. Compared with the free-matrix-based integral inequality, this inequality can provide additional freedom due to the free matrices introduced. Then, by employing those LKFs and the improved integral inequality, several delay-dependent stability criteria are established for two types of delays. Finally, two numerical examples are given to demonstrate the superiority of the proposed method.
Item Type: | Article |
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Uncontrolled Keywords: | Time-delay system, Time-varying delay, Stability, Augmented Lyapunov-Krasovskii functional |
Depositing User: | Symplectic Admin |
Date Deposited: | 30 May 2019 09:32 |
Last Modified: | 19 Jan 2023 00:42 |
DOI: | 10.1016/j.amc.2019.04.004 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3043351 |