Synchronization of nonlinearly coupled harmonic oscillators


Cai C., TUNA S. E.

American Control Conference, Maryland, United States Of America, 30 June - 02 July 2010, pp.1767-1771 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Maryland
  • Country: United States Of America
  • Page Numbers: pp.1767-1771

Abstract

Synchronization of coupled harmonic oscillators is investigated. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the first and third quadrants) of some projection of the relative distance (between the states of the pair being coupled) vector. Under the assumption that the interconnection topology defines a connected graph, it is shown that the synchronization manifold is semiglobally practically asymptotically stable in the frequency of oscillations.