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Predefined-time stability of dynamical systems with sliding modes
Abstract
This paper introduces a class of fixed-time stable dynamical systems with settling time as a explicit parameter, namely the inverse the gain. Those systems are defined as predefined-timed stable dynamical systems. Continuous and discontinuous are cases are presented. A detailed Lyapunov characterization of this class of systems is also shown. Finally, the application to the design of a class of first order sliding mode controllers is exposed.
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Cited by
A class of predefined-time stable dynamical systems
Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G. (2018) · IMA Journal of Mathematical Control and Information · doi:10.1093/imamci/dnx004 · Cited by 570
Self-citationAdaptive Fuzzy Control of Nonlinear Systems With Predefined Time and Accuracy
Wang, Q., Cao, J., & Liu, H. (2022) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2022.3169852 · Cited by 304
Li, S., Duan, N., & Pei, H. (2025) · Asian Journal of Control · doi:10.1002/asjc.3557 · Cited by 4
Metadata
- Authors
- Sanchez-Torres, J. D., Sanchez, E. N., & Loukianov, A. G.
- Venue
- 2015 American Control Conference (ACC)
- Publisher
- IEEE
- Published
- 2015-07
- Pages
- 5842-5846
- ISSN
- 0743-1619 (ISSN-L)
- OpenAlex
- W1483373265
- Cited by
- 333
- References
- 0
- FWCI
- 8.44
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Predefined-time stability of dynamical systems with sliding modes. https://app.cochat.ai/papers/10.1109/acc.2015.7172255
- The paper
- Sanchez-Torres, J. D., Sanchez, E. N., & Loukianov, A. G. (2015). Predefined-time stability of dynamical systems with sliding modes. 2015 American Control Conference (ACC). https://doi.org/10.1109/acc.2015.7172255
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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.
