Systems & control letters, 2012-11, Vol.61 (11), p.1097-1102
2012
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- Autor(en) / Beteiligte
- Titel
- Contraction of monotone phase-coupled oscillators
- Ist Teil von
- Systems & control letters, 2012-11, Vol.61 (11), p.1097-1102
- Ort / Verlag
- Amsterdam: Elsevier B.V
- Erscheinungsjahr
- 2012
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0167-6911, 1872-7956eISSN: 1872-7956DOI: 10.1016/j.sysconle.2012.08.007Titel-ID: cdi_liege_orbi_v2_oai_orbi_ulg_ac_be_2268_165110
- Format
- –
- Schlagworte
- A-monotone, Asymptotic behaviors, Asymptotic convergence, Contraction, Control, Coupling functions, Electrical engineering, Engineering, computing & technology, Exact sciences and technology, Fundamental areas of phenomenology (including applications), Ingénierie, informatique & technologie, Mathematics, Mathématiques, Monotone systems, Nonlinear dynamics and nonlinear dynamical systems, Oscillators (mechanical), Phase model, Phase models, Phase-coupled oscillators, Physical, chemical, mathematical & earth Sciences, Physics, Physique, chimie, mathématiques & sciences de la terre, Shrinkage, Solid mechanics, Statistical physics, thermodynamics, and nonlinear dynamical systems, Structural and continuum mechanics, Synchronization, coupled oscillators, Total variation, Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)