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Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
Abstract
A novel method is proposed in this note for stability analysis of systems with a time-varying delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria. Less conservative results are obtained by considering the additional useful terms (which are ignored in previous methods) when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. The resulting criteria are extended to the stability analysis for uncertain systems with time-varying structured uncertainties and polytopic-type uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method
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Cites
Time-delay systems: an overview of some recent advances and open problems
Richard, J.-P. (2003) · Automatica · doi:10.1016/s0005-1098(03)00167-5 · Cited by 3,353
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Robust Load Frequency Control for Power System Considering Transmission Delay and Sampling Period
Shangguan, X.-C., Zhang, C.-K., He, Y., Jin, L., Jiang, L., Spencer, J. W., & Wu, M. (2021) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2020.3026336 · Cited by 299
Self-citationADP-Based Decentralized Controller Design for Nonlinear Time-Delay Interconnected Systems
Chen, N., Luo, Z., Li, B., Luo, B., Chen, J., Yang, C., & Gui, W. (2024) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2024.3388530 · Cited by 22
Metadata
- Authors
- He, Y., Wang, Q.-G., Xie, L., & Lin, C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2007-02
- Volume
- 52
- Issue
- 2
- Pages
- 293-299
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2123369396
- Cited by
- 754
- References
- 1
- FWCI
- 163.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- He, Y., Wang, Q.-G., Xie, L., & Lin, C. (2007). Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2006.887907
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