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

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

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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 languageEnglish
Title of host publicationEuropean Control Conference, ECC 1999, 31 August - 3 September, Karlsruhe, Germany
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages4626-4630
Number of pages5
ISBN (Electronic)978-3-9524173-5-5
Publication statusPublished - 24 Mar 2015
Event5th European Control Conference (ECC 1999) - Karlsruhe, Germany
Duration: 31 Aug 19993 Sep 1999
Conference number: 5

Conference

Conference5th European Control Conference (ECC 1999)
Abbreviated titleECC99
CountryGermany
CityKarlsruhe
Period31/08/993/09/99

Keywords

  • global synchronization
  • nonlinear systems

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