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- Title
CONTINUOUS FEEDBACK STABILIZATION FOR A CLASS OF AFFINE STOCHASTIC NONLINEAR SYSTEMS.
- Authors
OUMOUN, MOHAMED; MANIAR, LAHCEN; ATLAS, ABDELGHAFOUR
- Abstract
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 affne in the control. Based on the generalised stochastic Lyapunov theorem, we derive the necessary conditions and the suffcient 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.
- Subjects
NONLINEAR systems; STOCHASTIC systems; STATE feedback (Feedback control systems); GLOBAL asymptotic stability; DIFFUSION control
- Publication
Kybernetika, 2020, Vol 56, Issue 3, p500
- ISSN
0023-5954
- Publication type
Article
- DOI
10.14736/kyb-2020-3-0500