State feedback stabilisation for stochastic high-order feedforward nonlinear systems with input time-delay

Xiaoyan Qin and Huifang Min

International Journal of Systems Science, 2018, vol. 49, issue 5, 1012-1020

Abstract: This paper devotes to solve the problem of state feedback stabilisation for a class of stochastic high-order feedforward nonlinear systems with input time-delay. First, the delay-dependent control input is skillfully handled by using variable transformation technique. Then, by introducing the homogeneous domination approach and the appropriate Lyapunov--Krasovskii functional to deal with the time-delay, we construct a state feedback controller through a backstepping recursive design. It is shown that the proposed controller can guarantee the closed-loop system to be globally asymptotically stable (GAS) in probability. Finally, an example is given to verify the effectiveness of the obtained analytical results.

Date: 2018
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DOI: 10.1080/00207721.2018.1435836

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