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Continuous finite-time stabilization of the translational and rotational double integrators
Open accessAbstract
A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator. Lyapunov theory is used to prove finite-time convergence. For the rotational double integrator, these controllers are modified to obtain finite-time-stabilizing feedback that avoid "unwinding".
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Cited by
Guo, F., Wen, C., Mao, J., & Song, Y.-D. (2015) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2014.2379211 · Cited by 678
Adaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults
Wang, H., Liu, P. X., Zhao, X., & Liu, X. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2902868 · Cited by 345
Adaptive Finite-Time Tracking Control of Nonlinear Systems With Dynamics Uncertainties
Wang, H., Xu, K., & Zhang, H. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3226703 · Cited by 342
Fixed-time adaptive neural tracking control for a class of uncertain nonstrict nonlinear systems
Ba, D., Li, Y.-X., & Tong, S. (2019) · Neurocomputing · doi:10.1016/j.neucom.2019.06.063 · Cited by 281
Adaptive fixed-time control for nonlinear systems against time-varying actuator faults
Mei, Y., Wang, J., Park, J. H., Shi, K., & Shen, H. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-021-07171-y · Cited by 53
Metadata
- Authors
- Bhat, S. P., & Bernstein, D. S.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1998-05
- Volume
- 43
- Issue
- 5
- Pages
- 678-682
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2136605942
- Cited by
- 1,694
- References
- 0
- FWCI
- 9.41
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Continuous finite-time stabilization of the translational and rotational double integrators. https://app.cochat.ai/papers/10.1109/9.668834
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- Bhat, S. P., & Bernstein, D. S. (1998). Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.668834
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