Displaying similar documents to “Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback. I: g -linearization.”

Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems

Irina Bashkirtseva, Lev Ryashko (2013)

International Journal of Applied Mathematics and Computer Science

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A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes an equilibrium of the deterministic system and provides required scattering of random states near this equilibrium for the corresponding stochastic system. Our approach is based on the stochastic sensitivity functions technique. The necessary and important part of the examined control problem is an analysis of attainability. For...

Continuous feedback stabilization for a class of affine stochastic nonlinear systems

Mohamed Oumoun, Lahcen Maniar, Abdelghafour Atlas (2020)

Kybernetika

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We investigate the state feedback stabilization, in the sense of weak solution, of nonlinear stochastic systems when the drift is quadratic in the control and the diffusion term is affine in the control. Based on the generalised stochastic Lyapunov theorem, we derive the necessary conditions and the sufficient conditions, respectively, for the global asymptotic stabilization in probability by a continuous feedback explicitly computed. The interest of this work is that the existing control...

Global output-feedback finite-time stabilization for a class of stochastic nonlinear cascaded systems

Qixun Lan, Huawei Niu, Yamei Liu, Huafeng Xu (2017)

Kybernetika

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In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output-feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite- time stability in probability of...