Geodesic
On control problem of asynchronous spectrum of linear system with singular upper left diagonal block of coefficient matrix
Trudy Instituta matematiki, Tome 31 (2023) no. 1, pp. 44-49 
A. K. Demenchuk. On control problem of asynchronous spectrum of linear system with singular upper left diagonal block of coefficient matrix. Trudy Instituta matematiki, Tome 31 (2023) no. 1, pp. 44-49. http://geodesic.mathdoc.fr/item/TIMB_2023_31_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the linear control periodic system with constant matrix under control. It is supposed that the average matrix coefficient has singular upper left diagonal block. The control problem of asynchronous spectrum is solved.

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

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

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

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

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

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

[7] A. K. Demenchuk, “Upravlenie asinkhronnym spektrom lineinykh sistem s nulevym srednim znacheniem matritsy koeffitsientov”, Tr. In-ta matematiki, 26:1 (2018), 31–34

[8] A. K. Demenchuk, “Upravlenie asinkhronnym spektrom lineinykh sistem s nevyrozhdennym srednim znacheniem matritsy koeffitsientov”, Tr. In-ta matematiki, 28:1-2 (2020), 11–16

[9] A. K. Demenchuk, “Upravlenie asinkhronnym spektrom lineinykh sistem s matritsei pri upravlenii maksimalnogo ranga”, Tr. In-ta matematiki, 27:1-2 (2019), 23–28

[10] A. K. Demenchuk, “Upravlenie asinkhronnym spektrom lineinykh sistem s nevyrozhdennym diagonalnym blokom usredneniya matritsy koeffitsientov”, Tr. In-ta matematiki, 30:1-2 (2022), 22–29 | Zbl

[11] R. Khorn, Ch. Dzhonson, Matrichnyi analiz, Nauka, M., 1989 | MR

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