@inproceedings{9894dd2127514a94a5a872d92ab433d0,
title = "Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples",
abstract = "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.",
author = "Kuznetsov, {N. V.} and Mokaev, {R. N.} and Akimova, {E. D.} and Boiko, {I. M.}",
note = "Funding Information: *The work is supported by the Leading Scientific Schools of Russia project NSh-2624.2020.1 (sections 1-2) and the Russian Science Foundation project 19-41-02002 (section 3) 1N.V. Kuznetsov is with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyv{\"a}skyl{\"a}, and Institute for Problems in Mechanical Engineering RAS, Russia
[email protected] 2E.D. Akimova, R.N. Mokaev are with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyv{\"a}skyl{\"a} 3I.M. Boiko is with the Department of Electrical and Computer Engineering, Petroleum Institute, Khalifa University of Science and Technology (UAE). Publisher Copyright: {\textcopyright} 2020 EUCA.; 18th European Control Conference, ECC 2020 ; Conference date: 12-05-2020 Through 15-05-2020",
year = "2020",
month = may,
language = "British English",
series = "European Control Conference 2020, ECC 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "781--786",
booktitle = "European Control Conference 2020, ECC 2020",
address = "United States",
}