Geodesic
On control problem of asynchronous spectrum of linear system with nonsingular mean value of coefficient matrix
Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 11-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the linear control periodic system with constant matrix under control. It is supposed that the average matrix coefficient is nonsingular. The control problem of asynchronous spectrum is solved. 
@article{TIMB_2020_28_1_a1,
     author = {A. K. Demenchuk},
     title = {On control problem of asynchronous spectrum of linear system with nonsingular mean value of coefficient matrix},
     journal = {Trudy Instituta matematiki},
     pages = {11--16},
     year = {2020},
     volume = {28},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a1/}
}
TY  - JOUR
AU  - A. K. Demenchuk
TI  - On control problem of asynchronous spectrum of linear system with nonsingular mean value of coefficient matrix
JO  - Trudy Instituta matematiki
PY  - 2020
SP  - 11
EP  - 16
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a1/
LA  - ru
ID  - TIMB_2020_28_1_a1
ER  - 
%0 Journal Article
%A A. K. Demenchuk
%T On control problem of asynchronous spectrum of linear system with nonsingular mean value of coefficient matrix
%J Trudy Instituta matematiki
%D 2020
%P 11-16
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a1/
%G ru
%F TIMB_2020_28_1_a1
A. K. Demenchuk. On control problem of asynchronous spectrum of linear system with nonsingular mean value of coefficient matrix. Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 11-16. http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a1/

[1] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968

[2] Zubov V. I., Lektsii po teorii upravleniya, Nauka, M., 1975

[3] Gaishun I. V., Vvedenie v teoriyu nestatsionarnykh lineinykh sistem, In-t matem. NAN Belarusi, Minsk, 1999

[4] Makarov E. K., Popova S. N., Upravlyaemost asimptoticheskikh invariantov nestatsionarnykh lineinykh sistem, Belarus. navuka, Minsk, 2012

[5] Massera J. L., “Observaciones sobre les soluciones periodicas de ecuaciones diferenciales”, Bol. de la Facultad de Ingenieria, 4:1 (1950), 37–45 | MR

[6] Kurtsveil Ya., Veivoda O., “O periodicheskikh i pochti periodicheskikh resheniyakh sistem obyknovennykh differentsialnykh uravnenii”, Chekhosl. matem. zhurnal, 5:3 (1955), 362–370

[7] Erugin N. P., Lineinye sistemy obyknovennykh differentsialnykh uravnenii s periodicheskimi i kvaziperiodicheskimi koeffitsientami, Mn., 1963 | MR

[8] Grudo E. I., Demenchuk A. K., “O periodicheskikh resheniyakh s nesoizmerimymi periodami lineinykh neodnorodnykh periodicheskikh differentsialnykh sistem”, Differents. uravneniya, 23:3 (1987), 409–416 | MR | Zbl

[9] Demenchuk A. K., “Zadacha upravleniya spektrom silno neregulyarnykh periodicheskikh kolebanii”, Doklady NAN Belarusi, 53:4 (2009), 37–42 | MR | Zbl

[10] Demenchuk A. K., Asinkhronnye kolebaniya v differentsialnykh sistemakh. Usloviya suschestvovaniya i upravleniya, Lambert Academic Publishing, Saarbrucken, 2012, 196 pp.

[11] Demenchuk A. K., “Upravlenie asinkhronnym spektrom lineinykh sistem s nulevym srednim znacheniem matritsy koeffitsientov”, Trudy Instituta matematiki, 26:1 (2018), 31–34

[12] Demenchuk A. K., “Upravlenie asinkhronnym spektrom lineinykh sistem s matritsei pri upravlenii maksimalnogo ranga”, Trudy Instituta matematiki, 27:1–2 (2019), 23–28