Finite‐time stabilization of stochastic low‐order nonlinear systems with FT‐SISS inverse dynamics |
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Authors: | Meng‐Meng Jiang Xue‐Jun Xie |
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Affiliation: | Institute of Automation, Qufu Normal University, Qufu, China |
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Abstract: | This paper studies finite‐time stabilization problem for stochastic low‐order nonlinear systems with stochastic inverse dynamics. By characterizing unmeasured stochastic inverse dynamics with finite‐time stochastic input‐to‐state stability, combining the Lyapunov function and adding a power integrator technique, and using the stochastic finite‐time stability theory, a state feedback controller is designed to guarantee global finite‐time stability in probability of stochastic low‐order nonlinear systems with finite‐time stochastic input‐to‐state stability inverse dynamics. |
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Keywords: | finite‐time stabilization in probability finite‐time stochastic input‐to‐state stability (FT‐SISS) state feedback controller stochastic low‐order nonlinear systems |
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