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Exponential Stability Using Sliding Mode Control for Stochastic Neutral-Type Systems

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Abstract

This study deals with the exponential stability of stochastic neutral-type systems (SNTSs) with Markovian switching and Lévy noises. A new integral sliding mode surface for SNTSs is constructed to design a sliding mode controller. Furthermore, a new Lyapunov function is assigned to obtain the exponential stability criterion of SNTSs. On this basis, a new sliding mode control law is proposed to ensure the accessibility of SNTSs. In addition, the parameters of the sliding mode controller for SNTSs are obtained. Finally, an example to illustrate the theoretical results has been presented.

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Data Availability Statement

Data sharing is not applicable to this article as no data sets were generated or analysed during the current study.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (61673257), the Natural Science Foundation of Shanghai (20ZR1422400) and the China Postdoctoral Science Foundation (2019M661322).

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Authors and Affiliations

  1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China

    Qiaoyu Chen

  2. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Dongbing Tong

  3. College of Information Sciences and Technology, Donghua University, Shanghai, 200051, China

    Qiaoyu Chen & Wuneng Zhou

  4. School of Finance, Nanjing Audit University, Jiangsu, 211815, China

    Yuhua Xu

  5. School of Electronics and Information Engineering, Taizhou University, Taizhou, 318000, China

    Jinping Mou

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  1. Qiaoyu Chen
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  2. Dongbing Tong
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  3. Wuneng Zhou
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  4. Yuhua Xu
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  5. Jinping Mou
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Correspondence to Dongbing Tong or Wuneng Zhou.

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Chen, Q., Tong, D., Zhou, W. et al. Exponential Stability Using Sliding Mode Control for Stochastic Neutral-Type Systems. Circuits Syst Signal Process 40, 2006–2024 (2021). https://doi.org/10.1007/s00034-020-01566-9

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  • DOI: https://doi.org/10.1007/s00034-020-01566-9

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