Skip to main content
SpringerLink
Log in

Study on stability in probability of general discrete-time stochastic systems

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Has’minskii R Z. Stochastic Stability of Differential Equations. Alphen: Sijtjoff and Noordhoff, 1980

    Book  Google Scholar 

  2. Mao X R. Stochastic Differential Equations and Applications. 2nd ed. Chichester: Horwood, 2007

    MATH  Google Scholar 

  3. Xue L R, Zhang W H, Xie X J. Global practical tracking for stochastic time-delay nonlinear systems with SISS-like inverse dynamics. Sci China Inf Sci, 2017, 60: 122201

    Article  MathSciNet  Google Scholar 

  4. Mao X R. Almost sure exponential stability in the numerical simulation of stochastic differential equations. SIAM J Numer Anal, 2015, 53: 370–389

    Article  MathSciNet  Google Scholar 

  5. Li X, Ruan X B, Jin Q, et al. Approximate discrete-time modeling of DC-DC converters with consideration of the effects of pulse width modulation. IEEE Trans Power Electron, 2018, 33: 7071–7082

    Article  Google Scholar 

  6. Zhang W H, Lin X Y, Chen B S. LaSalle-type theorem and its applications to infinite horizon optimal control of discrete-time nonlinear stochastic systems. IEEE Trans Autom Control, 2017, 62: 250–261

    Article  MathSciNet  Google Scholar 

  7. Yin J L. Asymptotic stability in probability and stabilization for a class of discrete-time stochastic systems. Int J Robust Nonlinear Control, 2015, 25: 2803–2815

    Article  MathSciNet  Google Scholar 

  8. Saif M, Liu B, Fan H J. Stabilisation and control of a class of discrete-time nonlinear stochastic output-dependent system with random missing measurements. Int J Control, 2017, 90: 1678–1687

    Article  MathSciNet  Google Scholar 

  9. Wang S R. Foundation of Probability Theory and Stochastic Process (in Chinese). Beijing: Science Press, 1997

    Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573156, 61733008), and Fundamental Research Funds for the Central Universities (Grant No. x2zdD2153620).

Author information

Authors and Affiliations

  1. School of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China

    Tianliang Zhang & Feiqi Deng

  2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Weihai Zhang

Authors
  1. Tianliang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Feiqi Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weihai Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Feiqi Deng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, T., Deng, F. & Zhang, W. Study on stability in probability of general discrete-time stochastic systems. Sci. China Inf. Sci. 63, 159205 (2020). https://doi.org/10.1007/s11432-018-9570-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-018-9570-8

Search

Navigation