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Finite-time boundedness of state estimation for semi-Markovian jump systems with distributed leakage delay and linear fractional uncertainties

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  • Yaonan Shan
  • Kun She
  • Shouming Zhong
  • Jun Cheng
  • Can Zhao
  • Qianhua Fu

Abstract

In this paper, the problem of finite-time bounded control for uncertain semi-Markovian jump neural networks with mixed delays which include distributed leakage delay (DLD) and mixed time-varying delays is considered. The system not only contains semi-Markovian jump, linear fractional uncertainties (LFUs), mixed time-varying delays but also includes distributed time delays in the leakage term which is not yet investigated in existing papers. Firstly, uncertainty parameters in the systems are solved by LFU based on the new model. Secondly, a novel augmented Lyapunov–Krasovskii functional (LKF) which involves more information about time-varying delays is constructed. Moreover, latest integral inequalities and time-delays division method are used to estimate the derivative of proposed LKFs. Thirdly, in the framework of uncertainty, semi-Markovian jump, DLD, mixed delays and external disturbance, a full-order state estimator is constructed such that the error dynamic system is finite-time bounded under the condition of given linear matrix inequalities. Finally, usefulness and advantages of the obtained results are verified by three numerical examples.

Suggested Citation

  • Yaonan Shan & Kun She & Shouming Zhong & Jun Cheng & Can Zhao & Qianhua Fu, 2019. "Finite-time boundedness of state estimation for semi-Markovian jump systems with distributed leakage delay and linear fractional uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(12), pages 2362-2384, September.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2362-2384
    DOI: 10.1080/00207721.2019.1656297
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    Cited by:

    1. Abinandhitha, R. & Monisha, S. & Sakthivel, R. & Manikandan, R. & Saat, S., 2023. "Proportional integral observer-based input–output finite-time stabilization for chaotic semi-Markov jump fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Aravinth, N. & Satheesh, T. & Sakthivel, R. & Ran, G. & Mohammadzadeh, A., 2023. "Input-output finite-time stabilization of periodic piecewise systems with multiple disturbances," Applied Mathematics and Computation, Elsevier, vol. 453(C).

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