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Combined Finite-Time State Feedback Design for Discrete-Time Neural Networks with Time-Varying Delays and Disturbances

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Abstract

In this paper, a finite-time state feedback structure is designed for neural networks with time-varying delays and disturbances. Firstly, finite-time state estimators and finite-time controllers are designed for neural networks to form combined finite-time state feedback structures. Secondly, closed-loop systems composed of neural network systems and estimation error systems are obtained. Then, based on the Lyapunov stability theory, the finite-time stability theory and LMIs technology, finite-time bounded conditions of closed-loop systems are obtained. Finally, the validity of the obtained results is verified by two examples.

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Acknowledgements

This work is partially supported by National Natural Science Foundation of China (61673257) and the Fundamental Research Funds for the Central Universities (22D110423).

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Authors and Affiliations

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

    Yinghao Tong, Zhengyun Ren, Zhiping Fan & Xue Feng

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

    Dongbing Tong

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  1. Yinghao Tong
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  2. Zhengyun Ren
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  3. Dongbing Tong
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  4. Zhiping Fan
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  5. Xue Feng
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Contributions

YT put forward the conceptualization thought, compiled the software and wrote the main manuscript text. ZR put forward the Methodology. DT verified the control method in the manuscript. ZF verified the control method in the manuscript. XF verified the control method in the manuscript. All authors reviewed the manuscript.

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Correspondence to Zhengyun Ren.

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Tong, Y., Ren, Z., Tong, D. et al. Combined Finite-Time State Feedback Design for Discrete-Time Neural Networks with Time-Varying Delays and Disturbances. Neural Process Lett 55, 7907–7931 (2023). https://doi.org/10.1007/s11063-023-11289-y

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  • DOI: https://doi.org/10.1007/s11063-023-11289-y

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