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

Meng-Meng Jiang, Kemei Zhang and Xue-Jun Xie

International Journal of Systems Science, 2017, vol. 48, issue 11, 2262-2271

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.

Date: 2017
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DOI: 10.1080/00207721.2017.1316885

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