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ISSN: 2333-9721
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-  2019 

Further results on adaptive state feedback stabilization for a class of stochastic feedforward nonlinear systems with time delays

DOI: 10.1177/0142331217752798

Keywords: Stochastic feedforward systems,Lyapunov–Krasovskii functional,input time delay,backstepping

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Abstract:

This paper further discusses the state feedback stabilization for stochastic high-order feedforward nonlinear systems with input time delay. By constructing the appropriate Lyapunov–Krasovskii functional, and using the variable transformation technique and the homogeneous domination idea, a state feedback controller is designed to ensure that the closed-loop system will be globally asymptotically stable in probability. Finally, an example is given to verify the effectiveness of the obtained analytical results

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