Geodesic
On the controllability of linear systems with constant coefficients
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 147-160 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the case where the constraint set $\Omega$; contains the point $0$, by using the methods of linear algebra the problem of $0$-controllability of a linear system with constant coefficients is reduced to the problem of $0$-controllability of a linear system with constant coefficients and with a matrix whose eigenvalues are all real and positive. An analogous fact is derived for the problem of $0$-accessibility. Bibliography: 10 titles. 
@article{SM_1978_34_2_a1,
     author = {Yu. M. Semenov},
     title = {On the controllability of linear systems with constant coefficients},
     journal = {Sbornik. Mathematics},
     pages = {147--160},
     year = {1978},
     volume = {34},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1978_34_2_a1/}
}
TY  - JOUR
AU  - Yu. M. Semenov
TI  - On the controllability of linear systems with constant coefficients
JO  - Sbornik. Mathematics
PY  - 1978
SP  - 147
EP  - 160
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1978_34_2_a1/
LA  - en
ID  - SM_1978_34_2_a1
ER  - 
%0 Journal Article
%A Yu. M. Semenov
%T On the controllability of linear systems with constant coefficients
%J Sbornik. Mathematics
%D 1978
%P 147-160
%V 34
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1978_34_2_a1/
%G en
%F SM_1978_34_2_a1
Yu. M. Semenov. On the controllability of linear systems with constant coefficients. Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 147-160. http://geodesic.mathdoc.fr/item/SM_1978_34_2_a1/

[1] R. V. Gamkrelidze, “Teoriya optimalnosti po bystrodeistviyu protsessov v lineinykh sistemakh”, Izv. AN SSSR, seriya matem., 22 (1958), 449–474 | MR | Zbl

[2] N. N. Krasovskii, “Optimalnoe upravlenie v obyknovennykh dinamicheskikh sistemakh”, Uspekhi matem. nauk, XX:3(123) (1965), 153–174 | MR | Zbl

[3] L. S. Pontryagin, Obyknovennye differentsialnye uravneniya, izd-vo “Nauka”, Moskva, 1974 | MR

[4] S. Leng, Algebra, izd-vo “Mir”, Moskva, 1968

[5] E. B. Li, L. Markus, Osnovy teorii optimalnogo upravleniya, izd-vo “Nauka”, Moskva, 1972 | MR

[6] R. E. Kalman, “Contributions to the theory of optimal control”, Bol. Soc. Mat. Mexicana, 1960, 102–119 | MR | Zbl

[7] R. E. Kalman, Lectures on controllability and observability, C. I. M. E. Summer School, Edizioni Cremonese, Roma, 1968 | MR

[8] S. H. Saperstone, J. A. Jorke, “Controllability of linear oscillatory systems using positive controllers”, SIAM J. Control, 10:2 (1971), 253–262 | DOI | MR | Zbl

[9] R. F. Brammer, “Controllability in linear autonomous systems using positive controllers”, SIAM J. Control, 1972, no. 2, 339–353 | DOI | MR | Zbl

[10] S. H. Saperstone, “Global controllability of linear systems with positive controls”, SIAM J. Control, 11:3 (1973), 417–423 | DOI | MR | Zbl