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Lyapunov stability theory of nonsmooth systems
Open accessAbstract
This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov's differential inclusion and Clarke's generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuous right-hand side such as in nonsmooth dynamic systems or variable structure control.>
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Cited by
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Guo, J., Zhou, Y., Burlion, L., Savkin, A. V., & Huang, C. (2025) · Control Engineering Practice · doi:10.1016/j.conengprac.2025.106491 · Cited by 13
Metadata
- Authors
- Shevitz, D., & Paden, B.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1994
- Volume
- 39
- Issue
- 9
- Pages
- 1910-1914
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2148993855
- Cited by
- 1,034
- References
- 0
- FWCI
- 9.90
- Type
- journal article
- Language
- en
- Open access
- green
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- Shevitz, D., & Paden, B. (1994). Lyapunov stability theory of nonsmooth systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.317122
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