Geodesic
Decoupling normalizing transformations and local stabilization of nonlinear systems
Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 225-248.

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

The existence of the normalizing transformation completely decoupling the stable dynamic from the center manifold dynamic is proved. A numerical procedure for the calculation of the asymptotic series for the decoupling normalizing transformation is proposed. The developed method is especially important for the perturbation theory of center manifold and, in particular, for the local stabilization theory. In the paper some sufficient conditions for local stabilization are given.
DOI : 10.21136/MB.1996.125988
Classification : 34A34, 34C20, 34C30, 34D05, 34D35, 34D99, 93C10, 93D15
Keywords: nonlinear system; stabilization; center manifold; normalizing transformation; smooth feedback 
@article{10_21136_MB_1996_125988,
     author = {Nikitin, S.},
     title = {Decoupling normalizing transformations and local stabilization of nonlinear systems},
     journal = {Mathematica Bohemica},
     pages = {225--248},
     publisher = {mathdoc},
     volume = {121},
     number = {3},
     year = {1996},
     doi = {10.21136/MB.1996.125988},
     mrnumber = {1419877},
     zbl = {0863.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.125988/}
}
TY  - JOUR
AU  - Nikitin, S.
TI  - Decoupling normalizing transformations and local stabilization of nonlinear systems
JO  - Mathematica Bohemica
PY  - 1996
SP  - 225
EP  - 248
VL  - 121
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.125988/
DO  - 10.21136/MB.1996.125988
LA  - en
ID  - 10_21136_MB_1996_125988
ER  - 
%0 Journal Article
%A Nikitin, S.
%T Decoupling normalizing transformations and local stabilization of nonlinear systems
%J Mathematica Bohemica
%D 1996
%P 225-248
%V 121
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.125988/
%R 10.21136/MB.1996.125988
%G en
%F 10_21136_MB_1996_125988
Nikitin, S. Decoupling normalizing transformations and local stabilization of nonlinear systems. Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 225-248. doi : 10.21136/MB.1996.125988. http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.125988/

Cité par Sources :