Continuous feedback stabilization for a class of affine stochastic nonlinear systems

Title:

Continuous feedback stabilization for a class of affine stochastic nonlinear systems

Creator:

Oumoun, Mohamed, Maniar, Lahcen, and Atlas, Abdelghafour

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:02502a6a-4125-407e-b840-2f7dc4de5686
uuid:02502a6a-4125-407e-b840-2f7dc4de5686
doi:10.14736/kyb-2020-3-0500

Subject:

global asymptotic stability in probability, continuous state feedback, and control stochastic nonlinear systems

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 methods are inapplicable to a lot of systems contained in the class of stochastic systems considered in this paper.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

500-515

Source:

Kybernetika | 2020 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false