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State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics

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3 Author(s)
Xue-Jun Xie ; Inst. of Autom., Qufu Normal Univ., Qufu, China ; Na Duan ; Xin Yu

This technical note considers a class of high-order stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics, and drift and diffusion terms depending upon the stochastic inverse dynamics and all the states. A new design and analysis approach to the problem of state-feedback global regulation is developed to guarantee that all the signals of the closed-loop system are bounded almost surely and the states can be regulated to zero almost surely.

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Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 8 )