journal article Apr 01, 2015

Synchronization control in networks with uniform and distributed phase lag

Automatica Vol. 54 pp. 114-123 · Elsevier BV
View at Publisher Save 10.1016/j.automatica.2015.01.034
Topics

No keywords indexed for this article. Browse by subject →

References
45
[1]
Acebrón "The Kuramoto model: a simple paradigm for synchronization phenomena" Reviews of Modern Physics (2005) 10.1103/revmodphys.77.137
[2]
Aeyels "Existence of partial entrainment and stability of phase locking behavior of coupled oscillators" Progress of Theoretical Physics (2004) 10.1143/ptp.112.921
[3]
Arenas "Synchronization in complex networks" Physics Reports (2008) 10.1016/j.physrep.2008.09.002
[4]
Ares "Collective modes of coupled phase oscillators with delayed coupling" Physical Review Letters (2012) 10.1103/physrevlett.108.204101
[5]
Choe "Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states" Physical Review E (2010) 10.1103/physreve.81.025205
[6]
Choi "Synchronization in a system of globally coupled oscillators with time delay" Physical Review E (2000) 10.1103/physreve.61.371
[7]
Chopra "On exponential synchronization of Kuramoto oscillators" IEEE Transactions on Automatic Control (2009) 10.1109/tac.2008.2007884
[8]
De Smet "Partial entrainment in the finite Kuramoto–Sakaguchi model" Physica D (2007) 10.1016/j.physd.2007.06.025
[9]
De Smet "Resonances and entrainment breakup in Kuramoto models with multimodal frequency densities" Physical Review E (2008) 10.1103/physreve.77.066212
[10]
Dörfler "Synchronization and transient stability in power networks and nonuniform Kuramoto oscillators" SIAM Journal on Control and Optimization (2012) 10.1137/110851584
[11]
Dörfler "Synchronization in complex networks of phase oscillators: a survey" Automatica (2013) 10.1016/j.automatica.2014.04.012
[12]
Earl "Synchronization in oscillator networks with delayed coupling: a stability criterion" Physical Review E (2003) 10.1103/physreve.67.036204
[13]
Hong "Kuramoto model of coupled oscillators with positive and negative coupling parameters: an example of conformist and contrarian oscillators" Physical Review Letters (2011) 10.1103/physrevlett.106.054102
[14]
Khalil (1992)
[15]
Komarov "Effects of nonresonant interaction in ensembles of phase oscillators" Physical Review E (2011) 10.1103/physreve.84.016210
[16]
Kuramoto "Self-entrainment of a population of coupled non-linear oscillators" (1975)
[17]
Kuramoto "Cooperative dynamics of oscillator community" Progress of Theoretical Physics Supplements (1984) 10.1143/ptps.79.223
[18]
Lafuerza "Nonuniversal results induced by diversity distribution in coupled excitable systems" Physical Review Letters (2010) 10.1103/physrevlett.105.084101
[19]
Lin "State agreement for continuous-time coupled nonlinear systems" SIAM Journal on Control and Optimization (2007) 10.1137/050626405
[20]
Lohe "Quantum synchronization over quantum networks" Journal of Physics A: Mathematical and Theoretical (2010) 10.1088/1751-8113/43/46/465301
[21]
Louzada "How to suppress undesired synchronization" Scientific Reports (2012) 10.1038/srep00658
[22]
Luzyanina "Synchronization in an oscillator neural network model with time-delayed coupling" Network: Computation in Neural Systems (1995) 10.1088/0954-898x/6/1/003
[23]
Mertens "Synchronization and stimulated emission in an array of mechanical phase oscillators on a resonant support" Physical Review E (2011) 10.1103/physreve.83.046221
[24]
Mirollo "The spectrum of the locked state for the Kuramoto model of coupled oscillators" Physica D (2005) 10.1016/j.physd.2005.01.017
[25]
Montbrió "Collective synchronization in the presence of reactive coupling and shear diversity" Physical Review E (2011) 10.1103/physreve.84.046206
[26]
Montbrió "Shear diversity prevents collective synchronization" Physical Review Letters (2011) 10.1103/physrevlett.106.254101
[27]
Nakamura "Clustering behavior of time-delayed nearest-neighbor coupled oscillators" Physical Review E (1994) 10.1103/physreve.49.4849
[28]
Niebur "Collective frequencies and metastability in networks of limit-cycle oscillators with time delay" Physical Review Letters (1991) 10.1103/physrevlett.67.2753
[29]
Nixon "Synchronized cluster formation in coupled laser networks" Physical Review Letters (2011) 10.1103/physrevlett.106.223901
[30]
Nixon "Controlling synchronization in large laser networks" Physical Review Letters (2012) 10.1103/physrevlett.108.214101
[31]
Nordenfelt "Bursting frequency versus phase synchronization in time-delayed neuron networks" Physical Review E (2013) 10.1103/physreve.87.052903
[32]
Nordenfelt "Frequency dispersion in the time-delayed Kuramoto model" Physical Review E (2014) 10.1103/physreve.89.032905
[33]
Omel’chenko "Nonuniversal transitions to synchrony in the Sakaguchi–Kuramoto model" Physical Review Letters (2012) 10.1103/physrevlett.109.164101
[34]
Pazó "The Kuramoto model with distributed shear" Europhysics Letters (2011) 10.1209/0295-5075/95/60007
[35]
A Soluble Active Rotator Model Showing Phase Transitions via Mutual Entrainment

Hidetsugu Sakaguchi, Yoshiki Kuramoto

Progress of Theoretical Physics 1986 10.1143/ptp.76.576
[36]
Schmidt "Frequency synchronization and phase agreement in Kuramoto oscillator networks with delays" Automatica (2012) 10.1016/j.automatica.2012.08.013
[37]
Simpson-Porco "Synchronization and power sharing for droop-controlled inverters in islanded microgrids" Automatica (2013) 10.1016/j.automatica.2013.05.018
[38]
Strogatz (1994)
[39]
Strogatz "From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators" Physica D (2000) 10.1016/s0167-2789(00)00094-4
[40]
Strogatz (2003)
[41]
Tsimring "Repulsive synchronization in an array of phase oscillators" Physical Review Letters (2005) 10.1103/physrevlett.95.014101
[42]
Uchida "Synchronization in a carpet of hydrodynamically coupled rotors with random intrinsic frequency" Europhysics Letters (2010) 10.1209/0295-5075/89/50011
[43]
Verwoerd "Global phase-locking in finite populations of phase-coupled oscillators" SIAM Journal on Applied Dynamical Systems (2008) 10.1137/070686858
[44]
Wiesenfeld "Frequency locking in Josephson arrays: connection with the Kuramoto model" Physical Review E (1998) 10.1103/physreve.57.1563
[45]
Yeung "Time delay in the Kuramoto model of coupled oscillators" Physical Review Letters (1999) 10.1103/physrevlett.82.648
Cited By
28
Metrics
28
Citations
45
References
Details
Published
Apr 01, 2015
Vol/Issue
54
Pages
114-123
License
View
Cite This Article
M.A. Lohe (2015). Synchronization control in networks with uniform and distributed phase lag. Automatica, 54, 114-123. https://doi.org/10.1016/j.automatica.2015.01.034
Related

You May Also Like

Constrained model predictive control: Stability and optimality

D.Q. Mayne, J.B. Rawlings · 2000

7,004 citations

Modeling by shortest data description

J. Rissanen · 1978

4,154 citations

Model predictive control: Theory and practice—A survey

Carlos E. García, David M. Prett · 1989

2,874 citations