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Multiple delay-dependent finite-time boundedness and input–output finite-time mean square stabilization of uncertain semi-Markovian jump systems with input constraint

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Abstract

This study is concerned with the problem of finite-time fault-tolerant control for uncertain semi-Markovian jump systems with input constraint and multiple time delays. There exist nonlinear functions, exogenous disturbances and measurement noise in these nonlinear systems. First, a dynamic output feedback controller is constructed for the uncertain semi-Markovian jump systems. A closed-loop system is earned. Next, sufficient stability conditions of the closed-loop system are obtained via stochastic Lyapunov function. Not only finite-time boundedness but also input-output finite-time mean square stabilization is achieved. This study is the first time to study. Finally, an example is provided to prove the novelty of the approach proposed in this paper.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (U1908217), the Liaoning Revitalization Talents Program (XLYC1902055) and the Fundamental Research Funds for the Central Universities (N180415004).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Yongheng Pang, Xin Wang, Ting Li, Shuowei Jin & Shaoxin Sun

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  1. Yongheng Pang
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  2. Xin Wang
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  3. Ting Li
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  4. Shuowei Jin
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  5. Shaoxin Sun
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Correspondence to Ting Li.

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The authors declare that they have no conflicts of interest to this work. We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work. There is no any commercial or associative interest that represents a conflict of interest in connection with the paper submitted.

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Pang, Y., Wang, X., Li, T. et al. Multiple delay-dependent finite-time boundedness and input–output finite-time mean square stabilization of uncertain semi-Markovian jump systems with input constraint. Neural Comput & Applic 33, 6611–6626 (2021). https://doi.org/10.1007/s00521-020-05423-3

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  • DOI: https://doi.org/10.1007/s00521-020-05423-3

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