Geodesic
On solving an enhanced evasion problem for linear discrete-time systems
Ural mathematical journal, Tome 8 (2022) no. 1, pp. 55-63

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the problem of an enhanced evasion for linear discrete-time systems, where there are two conflicting bounded controls and the aim of one of them is to be guaranteed to avoid the trajectory hitting a given target set at a given final time and also at intermediate instants. First we outline a common solution scheme based on the construction of so called solvability tubes or repulsive tubes. Then a much more quick and simple for realization method based on the construction of the tubes with parallelepiped-valued cross-sections is presented under assumptions that the target set is a parallelepiped and parallelotope-valued constraints on controls are imposed. An example illustrating this method is considered.
Keywords: linear control systems, discrete-time systems, uncertainty, evasion problem, parallelepipeds. 
@article{UMJ_2022_8_1_a5,
     author = {Elena K. Kostousova},
     title = {On solving an enhanced evasion problem for linear discrete-time systems},
     journal = {Ural mathematical journal},
     pages = {55--63},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a5/}
}
TY  - JOUR
AU  - Elena K. Kostousova
TI  - On solving an enhanced evasion problem for linear discrete-time systems
JO  - Ural mathematical journal
PY  - 2022
SP  - 55
EP  - 63
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a5/
LA  - en
ID  - UMJ_2022_8_1_a5
ER  - 
%0 Journal Article
%A Elena K. Kostousova
%T On solving an enhanced evasion problem for linear discrete-time systems
%J Ural mathematical journal
%D 2022
%P 55-63
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a5/
%G en
%F UMJ_2022_8_1_a5
Elena K. Kostousova. On solving an enhanced evasion problem for linear discrete-time systems. Ural mathematical journal, Tome 8 (2022) no. 1, pp. 55-63. http://geodesic.mathdoc.fr/item/UMJ_2022_8_1_a5/