Geodesic
On control problem of asynchronous spectrum of linear system with zero mean value of coefficient matrix
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 31-34 
A. K. Demenchuk. On control problem of asynchronous spectrum of linear system with zero mean value of coefficient matrix. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 31-34. http://geodesic.mathdoc.fr/item/TIMB_2018_26_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 is zero. The control problem of asynchronous spectrum is solved.

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

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

[7] 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