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 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.