Geodesic
Viability of the Solution with a Perturbation and Feedback Control
Journal of convex analysis, Tome 31 (2024) no. 1, pp. 289-296
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We consider a dynamic system with a perturbation in the right side. The perturbation is given by some geometrical restriction. We consider the question: find a feedback control that stabilizes a solution of the system required to be viable in a given compact convex subset? We construct minimal, in a certain sense, continuous feedback control which stabilizes the system. Some examples are considered.
Classification : 49J52, 49J53, 52A20, 34D20
Mots-clés : Viability theory, Hausdorff distance, supporting function, dynamic system, geometric difference 
@article{JCA_2024_31_1_JCA_2024_31_1_a17,
     author = {M. V. Balashov},
     title = {Viability of the {Solution} with a {Perturbation} and {Feedback} {Control}},
     journal = {Journal of convex analysis},
     pages = {289--296},
     year = {2024},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a17/}
}
TY  - JOUR
AU  - M. V. Balashov
TI  - Viability of the Solution with a Perturbation and Feedback Control
JO  - Journal of convex analysis
PY  - 2024
SP  - 289
EP  - 296
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a17/
ID  - JCA_2024_31_1_JCA_2024_31_1_a17
ER  - 
%0 Journal Article
%A M. V. Balashov
%T Viability of the Solution with a Perturbation and Feedback Control
%J Journal of convex analysis
%D 2024
%P 289-296
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a17/
%F JCA_2024_31_1_JCA_2024_31_1_a17
M. V. Balashov. Viability of the Solution with a Perturbation and Feedback Control. Journal of convex analysis, Tome 31 (2024) no. 1, pp. 289-296. http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a17/