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Lyapunov conditions for finite-time stability of time-varying time-delay systems
Abstract
In this paper, we develop the Lyapunov–Razumikhin method to finite-time stability (FTS) and finite-time contractive stability (FTCS) of time-delay systems. Several Lyapunov-based sufficient conditions for establishing these FTS properties are obtained. Then the theoretical results are applied to FTS and FTCS for a class of linear time-varying (LTV) time-delay system. The efficiency of the proposed criteria is illustrated by three numerical examples, where a stabilizing memoryless controller for FTCS of a second-order LTV system with time delay is proposed.
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Cited by
Stability analysis of delay patch-constructed Nicholson’s blowflies system
Zhao, X., Huang, C., Liu, B., & Cao, J. (2024) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2023.09.012 · Cited by 12
Adaptive fixed-time stabilization for a class of nonlinear uncertain systems
Zhao, Y., Yao, J., Tian, J., & Yu, J. (2023) · Mathematical Biosciences and Engineering · doi:10.3934/mbe.2023359 · Cited by 9
Metadata
- Authors
- Li, X., Yang, X., & Song, S.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2019-05
- Volume
- 103
- Pages
- 135-140
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2913621502
- Cited by
- 205
- References
- 0
- FWCI
- 14.57
- Type
- journal article
- Language
- en
- Open access
- closed
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