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Adaptive Neural Control of Nonlinear Time-Delay Systems With Unknown Virtual Control Coefficients
Abstract
In this paper, adaptive neural control is presented for a class of strict-feedback nonlinear systems with unknown time delays. The proposed design method does not require a priori knowledge of the signs of the unknown virtual control coefficients. The unknown time delays are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. It is proved that the proposed backstepping design method is able to guarantee semiglobal uniformly ultimately boundedness of all the signals in the closed-loop. In addition, the output of the system is proven to converge to a small neighborhood of the origin. Simulation results are provided to show the effectiveness of the proposed approach.
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Citations
Cited by
Zhang, T. P., & Ge, S. S. (2007) · Automatica · doi:10.1016/j.automatica.2006.12.014 · Cited by 508
Self-citationLi, D.-P., Li, D.-J., Liu, Y.-J., Tong, S., & Chen, C. L. P. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2707178 · Cited by 148
Wu, J., Zeng, C., & Hu, Y. (2021) · International Journal of Control, Automation and Systems · doi:10.1007/s12555-020-0052-2 · Cited by 12
Metadata
- Authors
- Ge, S. S., Hong, F., & Lee, T. H.
- Venue
- IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics)
- Published
- 2004-02
- Volume
- 34
- Issue
- 1
- Pages
- 499-516
- ISSN
- 1083-4419 (ISSN-L)
- OpenAlex
- W2050246747
- Cited by
- 716
- References
- 0
- FWCI
- 30.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Adaptive Neural Control of Nonlinear Time-Delay Systems With Unknown Virtual Control Coefficients. https://app.cochat.ai/papers/10.1109/tsmcb.2003.817055
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- Ge, S. S., Hong, F., & Lee, T. H. (2004). Adaptive Neural Control of Nonlinear Time-Delay Systems With Unknown Virtual Control Coefficients. IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2003.817055
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.