Global Fixed-Time Stabilization for a Class of P-Norm Nonlinear Stochastic Systems

This paper considers fixed-time stabilization problem for a class of p-norm nonlinear stochastic systems with the powers of any positive odd rational numbers. Based on weak growth condition of drift and diffusion terms, a new Lyapunov function is constructed to design the actual controller by the ad...

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Bibliographic Details
Main Authors:	Zhu, Daohong, Fang, Liandi, Ma, Li, Ding, Shihong
Format:	Conference Proceeding
Language:	eng
Subjects:	adding a power integrator technique fixed-time stable Lyapunov methods nonlinear stochastic systems Simulation State feedback Stochastic systems
Online Access:	Request full text
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Summary:	This paper considers fixed-time stabilization problem for a class of p-norm nonlinear stochastic systems with the powers of any positive odd rational numbers. Based on weak growth condition of drift and diffusion terms, a new Lyapunov function is constructed to design the actual controller by the adding a power integrator technique. Then it is rigorously proved that the origin of the considered system is fixed-time stable in probability under the designed state feedback controller. Finally, simulation results verify the effectiveness of the developed strategy.
ISSN:	2161-2927