A4 Article in conference proceedings
Harmonic balance method, Tsypkin locus, and LPRS : comparison and counterexamples (2020)

Kuznetsov, N., Mokaev, R., Akimova, E., & Boiko, I. (2020). Harmonic balance method, Tsypkin locus, and LPRS : comparison and counterexamples. In ECC 2020 : 18th European Control Conference (pp. 781-786). IEEE. https://ieeexplore.ieee.org/abstract/document/9143759

JYU authors or editors

Publication details

All authors or editors: Kuznetsov, N.V.; Mokaev, R.N.; Akimova, E.D.; Boiko, I.M.

Parent publication: ECC 2020 : 18th European Control Conference

Place and date of conference: Saint Petersburg, Russia (virtual conference), 12.-15.5.2020

eISBN: 978-3-907144-01-5

Publication year: 2020

Pages range: 781-786

Number of pages in the book: 2097

Publisher: IEEE

Publication country: United States

Publication language: English

Persistent website address: https://ieeexplore.ieee.org/abstract/document/9143759

Publication open access: Not open

Publication channel open access:


Harmonic balance method is an approximate method for analyzing the existence of periodic solutions and it is widely used in analysis of global stability of nonlinear control systems. For the relay systems the harmonic balance method has an elegant form admitting various further refinement. In this work we consider its extensions known as the Tsypkin method and the locus of a perturbed relay system (LPRS) method. Advantages and limitations of these approaches are illustrated on the example of Keldysh model.

Keywords: control theory; dynamical systems; relays; oscillations

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 1

Last updated on 2021-07-07 at 21:31