1. Novel fixed-time stability criteria of nonlinear systems and applications in fuzzy competitive neural network and Chua's oscillator.
- Author
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Ren, Fangmin, Wang, Xiaoping, and Zeng, Zhigang
- Subjects
- *
STABILITY of nonlinear systems , *FUZZY neural networks , *NONLINEAR systems , *FUZZY systems , *STABILITY theory - Abstract
Since the fixed-time stability forms of nonlinear systems satisfy strict conditions, there are few general forms for nonlinear systems to achieve fixed-time stability. This work proposes a new class of more general fixed-time stability criteria. It is worth mentioning that, compared with the traditional method of estimating the convergence time, this paper obtains a more conservative stable time estimation formula through the integration method of the generalized integral mean theorem. In addition, given that the fixed-time stabilization of neural networks and chaotic oscillators have attracted extensive attention in recent years, and there are still many fixed-time stabilizations of nonlinear systems that have not been studied. Therefore, a discontinuous controller is designed in this paper. The above stability theory results are applied to the fixed-time stabilization of the Takagi-Sugeno (T-S) fuzzy competitive neural network and chaotic system (coupled Chua's oscillator). Finally, the validity and applicability of the theoretical results are verified by examples. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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