The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Backstepping Design for Time-Delay Nonlinear Systems
Abstract
The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The strategy of design relies on the construction of a Lyapunov-Krasovskii functional. Continuously differentiable control laws are constructed.
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Citations
Cites
Introduction to Functional Differential Equations
Hale, J. K., & Lunel, S. M. V. (1993) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-4342-7 · Cited by 8,367
Robust Nonlinear Control Design
Freeman, R. A., & Kokotović, P. (1996) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4759-9 · Cited by 955
Hale, J. K., Krasovskiĭ, N. N., & Brenner, J. L. (1964) · American Mathematical Monthly · doi:10.2307/2312365 · Cited by 577
Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
Teel, A. R. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.701099 · Cited by 451
Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
Jankovic, M. (2001) · IEEE Transactions on Automatic Control · doi:10.1109/9.935057 · Cited by 411
Global Asymptotic Stabilization of Feedforward Systems With Delay in the Input
Mazenc, F., Mondie, S., & Francisco, R. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.828313 · Cited by 257
Self-citationGlobal asymptotic stabilization for chains of integrators with a delay in the input
Mazenc, F., Mondie, S., & Niculescu, S.-I. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.806654 · Cited by 253
Self-citationGlobal stabilization of oscillators with bounded delayed input
Mazenc, F., Mondié, S., & Niculescu, S. (2004) · Systems & Control Letters · doi:10.1016/j.sysconle.2004.05.018 · Cited by 91
Self-citation
Cited by
Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems
Krstic, M. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2009.2034923 · Cited by 393
Compensation of state-dependent input delay for nonlinear systems
Bekiaris-Liberis, N., & Krstic, M. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2208294 · Cited by 229
Yu, X., & Lin, W. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3197558 · Cited by 22
Compensation of time-varying input delay for nonlinear systems
Bekiaris-Liberis, N., & Krstic, M. (2011) · 2011 19th Mediterranean Conference on Control & Automation (MED) · doi:10.1109/med.2011.5983098 · Cited by 20
Bhan, L., Krstic, M., & Shi, Y. (2025) · arXiv · doi:10.48550/arxiv.2509.26443 · Cited by 4
Metadata
- Authors
- Mazenc, F., & Bliman, P.-A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2006-01
- Volume
- 51
- Issue
- 1
- Pages
- 149-154
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2103299374
- Cited by
- 287
- References
- 8
- FWCI
- 25.91
- Type
- journal article
- Language
- en
- Open access
- closed
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