Predefined-time stabilization for nonlinear stochastic Itô systems

T Zhang, S Xu, W Zhang - Science China Information Sciences, 2023 - Springer
T Zhang, S Xu, W Zhang
Science China Information Sciences, 2023Springer
In this paper, a control scheme for stochastic predefined-time stabilization of continuous-time
stochastic Itô systems is proposed. Compared with stochastic finite-time or fixed-time
stabilization, the proposed control scheme for stochastic predefined-time stabilization allows
the upper bound of the mean value of the settling-time function to lie below an arbitrarily
given positive value. Some Lyapunov-type results for predefined-time stabilization of
general stochastic Itô systems are presented. Moreover, a state feedback control scheme is …
Abstract
In this paper, a control scheme for stochastic predefined-time stabilization of continuous-time stochastic Itô systems is proposed. Compared with stochastic finite-time or fixed-time stabilization, the proposed control scheme for stochastic predefined-time stabilization allows the upper bound of the mean value of the settling-time function to lie below an arbitrarily given positive value. Some Lyapunov-type results for predefined-time stabilization of general stochastic Itô systems are presented. Moreover, a state feedback control scheme is designed for a class of stochastic nonlinear systems in strict-feedback form. Two simulation examples are provided to show the usefulness of the proposed stochastic predefined-time stabilization.
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