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Noise-to-state finite-time practical stability for random nonlinear systems and its application in random Lagrange systems

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Abstract

The noise-to-state finite-time practical stability for random nonlinear systems and its application is studied in this paper. The definition of noise-to-state finite-time practical stability is firstly introduced in probability sense for random nonlinear systems. Next, the related stability criterion is also given by Lyapunov approach. For random benchmark system, the finite-time adaptive tracking control problem is investigated by the vectorial backstepping method and the obtained stability theorem. Simulation example illustrates that the constructed controller design scheme is effective and feasible.

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The datasets generated during the current study are available from the corresponding author on reasonable request.

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Funding

This work was supported by Shandong Provincial Natural Science Foundation of China (No.ZR2020MA033).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Yantai University, Yantai, 264005, Shandong, People’s Republic of China

    Liqiang Yao & Likang Feng

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  1. Liqiang Yao
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  2. Likang Feng
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Correspondence to Liqiang Yao.

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Yao, L., Feng, L. Noise-to-state finite-time practical stability for random nonlinear systems and its application in random Lagrange systems. Nonlinear Dyn 111, 8103–8113 (2023). https://doi.org/10.1007/s11071-023-08261-9

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  • DOI: https://doi.org/10.1007/s11071-023-08261-9

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