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• W4285176543 abstract "This paper investigates the fixed-time stability theorem and state-feedback controller design for stochastic nonlinear systems. We propose an improved fixed-time Lyapunov theorem with a more rigorous and reasonable proof procedure. In particular, an important corollary is obtained, which can give a less conservative upper-bound estimate of the settling time. Based on the backstepping technique and the addition of a power integrator method, a state-feedback controller is skillfully designed for a class of stochastic nonlinear systems. It is proved that the proposed controller can render the closed-loop system fixed-time stable in probability with the help of the proposed fixed-time stability criteria. Finally, the effectiveness of the proposed controller is demonstrated by simulation examples and comparisons." @default.
• W4285176543 created "2022-07-14" @default.
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• W4285176543 date "2022-06-01" @default.
• W4285176543 modified "2023-10-16" @default.
• W4285176543 title "Fixed-Time Lyapunov Criteria and State-Feedback Controller Design for Stochastic Nonlinear Systems" @default.
• W4285176543 doi "https://doi.org/10.1109/jas.2022.105539" @default.
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