References
G. V. Shchipanov, Avtom. Telemekh., No. 1, 4–37 (1939).
E. L. Nikolai, Prikl. Mat. Mekh. 7(1), 11–23 (1942).
S. A. Khristianovich, F. R. Gantmakher, Avtom. Telemekh., No. 5, 41–49 (1940).
A. V. Mikhailov, Avtom. Telemekh., No. 5, 129–143 (1940).
N. N. Luzin and P. I. Kuznetsov, Dokl. Akad. Nauk 51, 331–334 (1946).
B. N. Petrov, in Proceedings of All-Union Workshop on Invariance Theory and Applications to Automatic Devices (AN USSR, Kiev, 1959), pp. 59–80.
A. I. Kukhtenko, Avtomatika, No. 6, 3–14 (1985).
V. A. Yakubovich, Dokl. Akad. Nauk 343, 172–175 (1995).
V. A. Yakubovich, Dokl. Math. 64, 278–281 (2001) [Dokl. Akad. Nauk 380, 27–30 (2001)].
A. V. Proskurnikov and V. A. Yakubovich, Dokl. Math. 67, 291–295 (2003) [Dokl. Akad. Nauk 389, 736–742 (2003)].
A. V. Proskurnikov and V. A. Yakubovich, Dokl. Math. 70, 666–670 (2004) [Dokl. Akad. Nauk 397, 610–614 (2004)].
A. V. Proskurnikov and V. A. Yakubovich, Dokl. Math. 68, 308–312 (2003) [Dokl. Akad. Nauk 392, 750–754 (2003)].
A. V. Proskurnikov and V. A. Yakubovich, Dokl. Math. 73, 142–146 (2006) [Dokl. Akad. Nauk 406, 30–34 (2006)].
V. N. Fomin, A. L. Fradkov, and V. A. Yakubovich, Adaptive Control of Dynamic Objects (Nauka, Moscow, 1981) [in Russian].
F. R. Gantmacher, The Theory of Matrices (Chelsea, New York, 1959; Fizmatgiz, Moscow, 1967).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Proskurnikov, V.A. Yakubovich, 2008, published in Doklady Akademii Nauk, 2008, Vol. 423, No. 3, pp. 323–327.
Rights and permissions
About this article
Cite this article
Proskurnikov, A.V., Yakubovich, V.A. The problem of absolute invariance of a linear discrete-time control system. Dokl. Math. 78, 956–960 (2008). https://doi.org/10.1134/S1064562408060409
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562408060409