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**Output feedback control for a class of stochastic high-order nonlinear systems with time-varying delays.**
*(English)*
Zbl 1302.93236

Summary: This paper discusses the problem of output feedback stabilization for a more general class of stochastic high-order nonlinear systems with time-varying delays. On the basis of a subtle homogeneous observer and controller construction, and the homogeneous domination approach, the closed-loop system is globally asymptotically stable in probability, by choosing an appropriate Lyapunov-Krasovskii functional. An example is given to illustrate the effectiveness of the proposed design procedure.

### MSC:

93E15 | Stochastic stability in control theory |

93B52 | Feedback control |

93E03 | Stochastic systems in control theory (general) |

93D15 | Stabilization of systems by feedback |

### Keywords:

stochastic nonlinear systems; output feedback; time-varying delays; Lyapunov-Krasovskii functional
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\textit{W. Zha} et al., Int. J. Robust Nonlinear Control 24, No. 16, 2243--2260 (2014; Zbl 1302.93236)

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