Geodesic
On control problem of asynchronous spectrum of linear system with linearly left-side dependence of blocks of full column rank
Trudy Instituta matematiki, Tome 21 (2013) no. 2, pp. 73-80.

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

We consider the linear control periodic system with reverse communication. It is supposed that the average matrix coefficient is block triangular in critical case and some full column rank blocks of coefficient matrix are linearly left-side depended. The control problem of asynchronous spectrum is solved. 
@article{TIMB_2013_21_2_a3,
     author = {A. K. Demenchuk},
     title = {On control problem of asynchronous spectrum of linear system with linearly left-side dependence of blocks of full column rank},
     journal = {Trudy Instituta matematiki},
     pages = {73--80},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2013_21_2_a3/}
}
TY  - JOUR
AU  - A. K. Demenchuk
TI  - On control problem of asynchronous spectrum of linear system with linearly left-side dependence of blocks of full column rank
JO  - Trudy Instituta matematiki
PY  - 2013
SP  - 73
EP  - 80
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2013_21_2_a3/
LA  - ru
ID  - TIMB_2013_21_2_a3
ER  - 
%0 Journal Article
%A A. K. Demenchuk
%T On control problem of asynchronous spectrum of linear system with linearly left-side dependence of blocks of full column rank
%J Trudy Instituta matematiki
%D 2013
%P 73-80
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2013_21_2_a3/
%G ru
%F TIMB_2013_21_2_a3
A. K. Demenchuk. On control problem of asynchronous spectrum of linear system with linearly left-side dependence of blocks of full column rank. Trudy Instituta matematiki, Tome 21 (2013) no. 2, pp. 73-80. http://geodesic.mathdoc.fr/item/TIMB_2013_21_2_a3/

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

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

[3] Erugin N. P., “O periodicheskikh resheniyakh differentsialnykh uravnenii”, Prikl. mat. i mekh., 20:1 (1956), 148–152 | MR | Zbl

[4] Grudo E. I., “O periodicheskikh resheniyakh s nesoizmerimymi periodami periodicheskikh differentsialnykh sistem”, Differents. uravneniya, 22:9 (1986), 1499–1504 | MR | Zbl

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

[6] Demenchuk A. K., “Oscillations of weakly nonlinear systems with no frequencies due to nonlinearity”, Publikacije electrotechnickogo faculteta. Ser. Mathematika, 17 (2006), 1–7 | DOI | MR | Zbl

[7] Asinkhronnye kolebaniya v differentsialnykh sistemakh. Usloviya suschestvovaniya i upravlenie, Lambert Academic Publishing, Saarbrücken, 2012

[8] Papaleksi N. D., “Ob odnom sluchae parametricheski svyazannykh sistem”, Journ. of Phys. Acad. Sc. USSR, 1 (1939), 373–379

[9] Penner D. I., Duboshinskii D. B., Kozakov M. I., Vermel A. S., Galkin Yu. V., “Asinkhronnoe vozbuzhdenie nezatukhayuschikh kolebanii”, Uspekhi fiz. nauk, 109:1 (1973), 402–406 | DOI

[10] Landa P. S., Duboshinskii Ya. B., “Avtokolebatelnye sistemy s vysokochastotnymi istochnikami energii”, Uspekhi fiz. nauk, 158:4 (1989), 729–742 | DOI

[11] Penner D. I., Duboshinskii Ya. B., Duboshinskii D. B., Kozakov M. I., “Kolebaniya s samoreguliruyuschimsya vremenem vzaimodeistviya”, DAN SSSR, 204:5 (1972), 1065–1066

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

[13] Demenchuk A. K., “Upravlenie asinkhronnym spektrom lineinykh sistem s nezavisimymi blokami”, Differents. uravneniya, 49:1 (2013), 3–8 | MR | Zbl

[14] Demenchuk A. K., “Upravlenie asinkhronnym spektrom lineinykh sistem s zavisimymi blokami polnogo stolbtsovogo ranga”, Dokl. NAN Belarusi, 56:4 (2012), 27–31