Synchronization of nonlinearly coupled harmonic oscillators

2010-07-02
Cai, Chaohong
Tuna, Sezai Emre
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.
American Control Conference

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Citation Formats
C. Cai and S. E. Tuna, “Synchronization of nonlinearly coupled harmonic oscillators,” presented at the American Control Conference, Baltimore, MD, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52891.