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Entropy
Volume 27
Issue 12
10.3390/e27121186
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Finite-Time Dissipative Fault Estimate and Event-Triggered Fault-Tolerant Synchronization Control for Discrete Semi-Markov Jumping Neural Networks

by
Xiaodan Zhu
1,
Yanjun Wang
1 and
Yu Chen
2,*
1
School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
2
School of Chemistry and Chemical Engineering, Ludong University, Yantai 264025, China
*
Author to whom correspondence should be addressed.
Entropy 2025, 27(12), 1186; https://doi.org/10.3390/e27121186 (registering DOI)
Submission received: 14 October 2025 / Revised: 19 November 2025 / Accepted: 19 November 2025 / Published: 22 November 2025
Versions Notes

Abstract

This paper studies discrete-time semi-Markov neural networks (NNs) and proposes a finite-time γ-dissipative fault estimate (FE) and fault-tolerant synchronization control (FTSC) with the event-triggered method. Based on the intermediate variable introduced, an FE scheme is presented to obtain estimate information of faults, states, and intermediate variables. According to the event-triggered condition designed, an FTSC protocol is proposed so that the error system between master system and slave system is stochasticslly synchronized within finite time and meets γ-dissipativity. An example shows the validity of this proposed scheme.
Keywords: event-triggered; γ-dissipativity; intermediate FE observer; finite-time FTSC; discrete semi-Markov NNs event-triggered; γ-dissipativity; intermediate FE observer; finite-time FTSC; discrete semi-Markov NNs

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MDPI and ACS Style

Zhu, X.; Wang, Y.; Chen, Y. Finite-Time Dissipative Fault Estimate and Event-Triggered Fault-Tolerant Synchronization Control for Discrete Semi-Markov Jumping Neural Networks. Entropy 2025, 27, 1186. https://doi.org/10.3390/e27121186

AMA Style

Zhu X, Wang Y, Chen Y. Finite-Time Dissipative Fault Estimate and Event-Triggered Fault-Tolerant Synchronization Control for Discrete Semi-Markov Jumping Neural Networks. Entropy. 2025; 27(12):1186. https://doi.org/10.3390/e27121186

Chicago/Turabian Style

Zhu, Xiaodan, Yanjun Wang, and Yu Chen. 2025. "Finite-Time Dissipative Fault Estimate and Event-Triggered Fault-Tolerant Synchronization Control for Discrete Semi-Markov Jumping Neural Networks" Entropy 27, no. 12: 1186. https://doi.org/10.3390/e27121186

APA Style

Zhu, X., Wang, Y., & Chen, Y. (2025). Finite-Time Dissipative Fault Estimate and Event-Triggered Fault-Tolerant Synchronization Control for Discrete Semi-Markov Jumping Neural Networks. Entropy, 27(12), 1186. https://doi.org/10.3390/e27121186

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