The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Stability notions and Lyapunov functions for sliding mode control systems
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Cites
Optimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
Sliding Modes in Control and Optimization
Utkin, V. I. (1992) · Springer eBooks · doi:10.1007/978-3-642-84379-2 · Cited by 6,684
Theory of Ordinary Differential Equations
Coddington, E. A., Levinson, N., & Teichmann, T. (1956) · Physics Today · doi:10.1063/1.3059875 · Cited by 6,124
Theory of ordinary differential equations
Platzer, H. L. (1956) · Journal of the Franklin Institute · doi:10.1016/0016-0032(56)91150-4 · Cited by 5,520
Finite-Time Stability of Continuous Autonomous Systems
Bhat, S. P., & Bernstein, D. S. (2000) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012997321358 · Cited by 5,510
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
Polyakov, A. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2179869 · Cited by 5,207
Self-citationDifferential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,893
Sliding Mode Control in Electro-Mechanical Systems
Utkin, V., Guldner, J., & Shi, J. (2017) · CRC Press eBooks · doi:10.1201/9781420065619 · Cited by 3,226
Sliding order and sliding accuracy in sliding mode control
LEVANT, A. (1993) · International Journal of Control · doi:10.1080/00207179308923053 · Cited by 3,093
Hahn, W. (1967) · Springer eBooks · doi:10.1007/978-3-642-50085-5 · Cited by 2,754
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
Metadata
- Authors
- Polyakov, A., & Fridman, L.
- Venue
- Journal of the Franklin Institute
- Publisher
- Elsevier BV
- Published
- 2014-04
- Volume
- 351
- Issue
- 4
- Pages
- 1831-1865
- ISSN
- 0016-0032 (ISSN-L)
- OpenAlex
- W2117933783
- Cited by
- 420
- References
- 33
- FWCI
- 26.43
- Type
- journal article
- Language
- en
- Open access
- green
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- Polyakov, A., & Fridman, L. (2014). Stability notions and Lyapunov functions for sliding mode control systems. Journal of the Franklin Institute. https://doi.org/10.1016/j.jfranklin.2014.01.002
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