This article focus on the finite‐time control for a class of stochastic continuous nonlinear systems suffered from unknown control coefficients and unmeasured stochastic inverse dynamics. Based on the modified homogeneous… Click to show full abstract
This article focus on the finite‐time control for a class of stochastic continuous nonlinear systems suffered from unknown control coefficients and unmeasured stochastic inverse dynamics. Based on the modified homogeneous domination and adding a power integrator approach, the finite‐time controller is constructed to assure the global finite‐time stability in probability of stochastic continuous nonlinear systems, in which the negative effects generated by unknown control coefficients are dominated by a control gain. In addition, the use of finite‐time stochastic input‐to‐state stability enables us to produce the theoretical analysis of the finite‐time stability of the closed‐loop system. Finally, a simulation example is supplied to show the effectiveness of the proposed scheme.
               
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