Geodesic
Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
Kybernetika, Tome 52 (2016) no. 6, pp. 988-1002.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this work is that the class of stochastic systems considered in this paper contains a lot of systems which cannot be stabilized via time-invariant feedback laws.
DOI : 10.14736/kyb-2016-6-0988
Classification : 60H10, 93C10, 93D05, 93D15, 93E15
Keywords: stochastic differential systems; smooth time–varying feedback law; global asymptotic stability in probability 
@article{10_14736_kyb_2016_6_0988,
     author = {Florchinger, Patrick},
     title = {Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback},
     journal = {Kybernetika},
     pages = {988--1002},
     publisher = {mathdoc},
     volume = {52},
     number = {6},
     year = {2016},
     doi = {10.14736/kyb-2016-6-0988},
     mrnumber = {3607858},
     zbl = {06707384},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-6-0988/}
}
TY  - JOUR
AU  - Florchinger, Patrick
TI  - Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
JO  - Kybernetika
PY  - 2016
SP  - 988
EP  - 1002
VL  - 52
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-6-0988/
DO  - 10.14736/kyb-2016-6-0988
LA  - en
ID  - 10_14736_kyb_2016_6_0988
ER  - 
%0 Journal Article
%A Florchinger, Patrick
%T Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
%J Kybernetika
%D 2016
%P 988-1002
%V 52
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-6-0988/
%R 10.14736/kyb-2016-6-0988
%G en
%F 10_14736_kyb_2016_6_0988
Florchinger, Patrick. Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback. Kybernetika, Tome 52 (2016) no. 6, pp. 988-1002. doi : 10.14736/kyb-2016-6-0988. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-6-0988/

Cité par Sources :