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Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. / Leonov, G. A.; Kuznetsov, N. V.

Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. International Federation of Automatic Control, 2011. p. 2494-2505 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Leonov, GA & Kuznetsov, NV 2011, Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. in Proceedings of the 18th IFAC World Congress. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 44, International Federation of Automatic Control, pp. 2494-2505. https://doi.org/10.3182/20110828-6-IT-1002.03315

APA

Leonov, G. A., & Kuznetsov, N. V. (2011). Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 2494-2505). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). International Federation of Automatic Control. https://doi.org/10.3182/20110828-6-IT-1002.03315

Vancouver

Leonov GA, Kuznetsov NV. Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. In Proceedings of the 18th IFAC World Congress. 1 PART 1 ed. International Federation of Automatic Control. 2011. p. 2494-2505. (IFAC Proceedings Volumes (IFAC-PapersOnline); 1 PART 1). https://doi.org/10.3182/20110828-6-IT-1002.03315

Author

Leonov, G. A. ; Kuznetsov, N. V. / Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. International Federation of Automatic Control, 2011. pp. 2494-2505 (IFAC Proceedings Volumes (IFAC-PapersOnline); 1 PART 1).

BibTeX

@inproceedings{11b0d2e616a74b2db8bbb1ce546063a5,
title = "Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems",
abstract = "The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of oscillations of control systems. In the present survey analytical-numerical algorithms for hidden oscillation localization are discussed. Examples of hidden attractor localization in Chua's circuit and counterexamples construction to Aizerman's conjecture and Kalman's conjecture are considered.",
keywords = "Absolute stability, Aizerman problem, Chua's circuit, Describing function method, Harmonic balance, Harmonic linearization, Hidden attractor, Hidden oscillation, Kalman problem, Localization",
author = "Leonov, {G. A.} and Kuznetsov, {N. V.}",
note = "Funding Information: ⋆The work was supported by Academy of Finland, Ministry of Education and Science of Russian Federation, St.Petrsburg State University, and RFBR.",
year = "2011",
doi = "10.3182/20110828-6-IT-1002.03315",
language = "English",
isbn = "9783902661937",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "International Federation of Automatic Control",
number = "1 PART 1",
pages = "2494--2505",
booktitle = "Proceedings of the 18th IFAC World Congress",
address = "Austria",
edition = "1 PART 1",

}

RIS

TY - GEN

T1 - Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems

AU - Leonov, G. A.

AU - Kuznetsov, N. V.

N1 - Funding Information: ⋆The work was supported by Academy of Finland, Ministry of Education and Science of Russian Federation, St.Petrsburg State University, and RFBR.

PY - 2011

Y1 - 2011

N2 - The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of oscillations of control systems. In the present survey analytical-numerical algorithms for hidden oscillation localization are discussed. Examples of hidden attractor localization in Chua's circuit and counterexamples construction to Aizerman's conjecture and Kalman's conjecture are considered.

AB - The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of oscillations of control systems. In the present survey analytical-numerical algorithms for hidden oscillation localization are discussed. Examples of hidden attractor localization in Chua's circuit and counterexamples construction to Aizerman's conjecture and Kalman's conjecture are considered.

KW - Absolute stability

KW - Aizerman problem

KW - Chua's circuit

KW - Describing function method

KW - Harmonic balance

KW - Harmonic linearization

KW - Hidden attractor

KW - Hidden oscillation

KW - Kalman problem

KW - Localization

UR - http://www.scopus.com/inward/record.url?scp=84866756426&partnerID=8YFLogxK

U2 - 10.3182/20110828-6-IT-1002.03315

DO - 10.3182/20110828-6-IT-1002.03315

M3 - Conference contribution

AN - SCOPUS:84866756426

SN - 9783902661937

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 2494

EP - 2505

BT - Proceedings of the 18th IFAC World Congress

PB - International Federation of Automatic Control

ER -

ID: 95274814