Standard

Frequency theorem (Yakubovich-Kalman lemma) in the control theory. / Barabanov, N. E.; Gelig, A. Kh; Leonov, G. A.; Likhtarnikov, A. L.; Matveev, A. S.; Smirnova, V. B.; Fradkov, A. L.

In: Avtomatika i Telemekhanika, No. 9, 01.09.1996, p. 3-40.

Research output: Contribution to journal › Article › peer-review

Harvard

Barabanov, NE, Gelig, AK, Leonov, GA, Likhtarnikov, AL, Matveev, AS, Smirnova, VB & Fradkov, AL 1996, 'Frequency theorem (Yakubovich-Kalman lemma) in the control theory', Avtomatika i Telemekhanika, no. 9, pp. 3-40.

APA

Barabanov, N. E., Gelig, A. K., Leonov, G. A., Likhtarnikov, A. L., Matveev, A. S., Smirnova, V. B., & Fradkov, A. L. (1996). Frequency theorem (Yakubovich-Kalman lemma) in the control theory. Avtomatika i Telemekhanika, (9), 3-40.

Vancouver

Barabanov NE, Gelig AK, Leonov GA, Likhtarnikov AL, Matveev AS, Smirnova VB et al. Frequency theorem (Yakubovich-Kalman lemma) in the control theory. Avtomatika i Telemekhanika. 1996 Sep 1;(9):3-40.

Author

Barabanov, N. E. ; Gelig, A. Kh ; Leonov, G. A. ; Likhtarnikov, A. L. ; Matveev, A. S. ; Smirnova, V. B. ; Fradkov, A. L. / Frequency theorem (Yakubovich-Kalman lemma) in the control theory. In: Avtomatika i Telemekhanika. 1996 ; No. 9. pp. 3-40.

BibTeX

@article{b59ef3f9d8b543de83f94b88aed65004,
title = "Frequency theorem (Yakubovich-Kalman lemma) in the control theory",
abstract = "The frequency theorem (Yakubovich-Kalman lemma) is one of the main points in the theory of linear and nonlinear control systems. The theorem gives the necessary and sufficient conditions of resolvability of Lourie and Rikkati equations. In this review, history of development of the frequency theorem is given and its application is described to the problems of the study of absolute stability and oscillations of nonlinear systems synthesis of optimal and adaptive control.",
author = "Barabanov, {N. E.} and Gelig, {A. Kh} and Leonov, {G. A.} and Likhtarnikov, {A. L.} and Matveev, {A. S.} and Smirnova, {V. B.} and Fradkov, {A. L.}",
year = "1996",
month = sep,
day = "1",
language = "русский",
pages = "3--40",
journal = "АВТОМАТИКА И ТЕЛЕМЕХАНИКА",
issn = "0005-2310",
publisher = "Издательство {"}Наука{"}",
number = "9",

}

RIS

TY - JOUR

T1 - Frequency theorem (Yakubovich-Kalman lemma) in the control theory

AU - Barabanov, N. E.

AU - Gelig, A. Kh

AU - Leonov, G. A.

AU - Likhtarnikov, A. L.

AU - Matveev, A. S.

AU - Smirnova, V. B.

AU - Fradkov, A. L.

PY - 1996/9/1

Y1 - 1996/9/1

N2 - The frequency theorem (Yakubovich-Kalman lemma) is one of the main points in the theory of linear and nonlinear control systems. The theorem gives the necessary and sufficient conditions of resolvability of Lourie and Rikkati equations. In this review, history of development of the frequency theorem is given and its application is described to the problems of the study of absolute stability and oscillations of nonlinear systems synthesis of optimal and adaptive control.

AB - The frequency theorem (Yakubovich-Kalman lemma) is one of the main points in the theory of linear and nonlinear control systems. The theorem gives the necessary and sufficient conditions of resolvability of Lourie and Rikkati equations. In this review, history of development of the frequency theorem is given and its application is described to the problems of the study of absolute stability and oscillations of nonlinear systems synthesis of optimal and adaptive control.

UR - http://www.scopus.com/inward/record.url?scp=0030230616&partnerID=8YFLogxK

M3 - статья

AN - SCOPUS:0030230616

SP - 3

EP - 40

JO - АВТОМАТИКА И ТЕЛЕМЕХАНИКА

JF - АВТОМАТИКА И ТЕЛЕМЕХАНИКА

SN - 0005-2310

IS - 9

ER -

ID: 37779537