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Robust \({H_\infty }\) Filtering for Semi-Markov Jump Systems Encountering Denial-of-Service Jamming Attacks

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Abstract

This study focuses on the issue of \({H_\infty }\) filtering for discrete-time semi-Markov jump systems encountering denial-ofservice jamming attacks. The semi-Markov kernel, which describes the switching of the system, is determined by the sojourn-time probability density functions and the transition probability. A Bernoulli distribution white sequence is introduced to describe the phenomenon while accounting for the DoS jamming attacks and channel inherent factors on packet dropout. Considering that the DoS jammer has limited energy, it adopts a random attack strategy, and each work cycle and attack period are different. Based on the mean-square stability criterion, a sufficient condition is provided, and the filter is designed to ensure that the filtering error system is stable with the \({H_\infty }\) performance index. Two examples, including a cognitive radio system, are provided to demonstrate the effectiveness of the proposed filtering method.

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Data Availability Statement

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This research was funded by the National Key R&D Program of China under Grant 2018YFD0400902, the National Natural Science Foundation of China under Grant 61873112 and the Postgraduate Research & Practice Innovation Program of Jiangnan University under Grant JNKY19_043.

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Authors and Affiliations

  1. Engineering Research Center of Internet of Things Technology Applications (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, Jiangsu, China

    Qiyi Wang, Fengzeng Zhu & Li Peng

  2. Jiangsu Province Internet of Things Application Technology Key Construction Laboratory, Wuxi Taihu College, Wuxi, 214063, Jiangsu, China

    Li Peng

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  1. Qiyi Wang
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Correspondence to Li Peng.

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Wang, Q., Zhu, F. & Peng, L. Robust \({H_\infty }\) Filtering for Semi-Markov Jump Systems Encountering Denial-of-Service Jamming Attacks. Circuits Syst Signal Process 41, 1453–1474 (2022). https://doi.org/10.1007/s00034-021-01853-z

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