Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

A.L. Fradkov; G.A. Leonov; H. Nijmeijer

doi:10.23919/ECC.1999.7100065

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

A.L. Fradkov, G.A. Leonov, H. Nijmeijer

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

6 Downloads (Pure)

Abstract

The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.

Original language	English
Title of host publication	1999 European Control Conference (ECC)
Subtitle of host publication	31 August - 3 September, Karlsruhe, Germany
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	4626-4630
ISBN (Print)	978-3-9524173-5-5
DOIs	https://doi.org/10.23919/ECC.1999.7100065
Publication status	Published - 1999
Event	1999 European Control Conference, ECC 1999 - Karlsruhe, Germany Duration: 31 Aug 1999 → 3 Sept 1999

Conference

Conference	1999 European Control Conference, ECC 1999
Abbreviated title	ECC
Country/Territory	Germany
City	Karlsruhe
Period	31/08/99 → 3/09/99

Keywords

n/a OA procedure

Access to Document

10.23919/ECC.1999.7100065

Cite this

@inproceedings{18587f8c7c4b4bb5b2e13a3caf169534,

title = "Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal",

abstract = "The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.",

keywords = "n/a OA procedure",

author = "A.L. Fradkov and G.A. Leonov and H. Nijmeijer",

year = "1999",

doi = "10.23919/ECC.1999.7100065",

language = "English",

isbn = "978-3-9524173-5-5",

pages = "4626--4630",

booktitle = "1999 European Control Conference (ECC)",

publisher = "IEEE",

address = "United States",

note = "1999 European Control Conference, ECC 1999, ECC ; Conference date: 31-08-1999 Through 03-09-1999",

}

Fradkov, AL, Leonov, GA & Nijmeijer, H 1999, Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal. in 1999 European Control Conference (ECC): 31 August - 3 September, Karlsruhe, Germany. IEEE, Piscataway, NJ, pp. 4626-4630, 1999 European Control Conference, ECC 1999, Karlsruhe, Germany, 31/08/99. https://doi.org/10.23919/ECC.1999.7100065

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal. / Fradkov, A.L.; Leonov, G.A.; Nijmeijer, H.
1999 European Control Conference (ECC): 31 August - 3 September, Karlsruhe, Germany. Piscataway, NJ: IEEE, 1999. p. 4626-4630.

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

TY - GEN

T1 - Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

AU - Fradkov, A.L.

AU - Leonov, G.A.

AU - Nijmeijer, H.

PY - 1999

Y1 - 1999

N2 - The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.

AB - The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.

KW - n/a OA procedure

U2 - 10.23919/ECC.1999.7100065

DO - 10.23919/ECC.1999.7100065

M3 - Conference contribution

SN - 978-3-9524173-5-5

SP - 4626

EP - 4630

BT - 1999 European Control Conference (ECC)

PB - IEEE

CY - Piscataway, NJ

T2 - 1999 European Control Conference, ECC 1999

Y2 - 31 August 1999 through 3 September 1999

ER -

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

Abstract

Conference

Keywords

Access to Document

Fingerprint

Cite this