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Output feedback stabilisation of stochastic nonlinear time-delay systems with unknown output function

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  • Meng-Meng Jiang
  • Kemei Zhang
  • Xue-Jun Xie

Abstract

This paper studies the problem of output feedback stabilisation for a class of stochastic nonlinear time-delay systems with the unknown output function. For stochastic nonlinear time-delay systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and C2$\mathcal{C}^2$ Lyapunov– Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.

Suggested Citation

  • Meng-Meng Jiang & Kemei Zhang & Xue-Jun Xie, 2017. "Output feedback stabilisation of stochastic nonlinear time-delay systems with unknown output function," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(11), pages 2262-2271, August.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2262-2271
    DOI: 10.1080/00207721.2017.1316885
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