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Volumn 54, Issue 2, 2009, Pages 353-357

On exponential synchronization of Kuramoto oscillators

Author keywords

Cooperative control; Exponential stabilization; Kuramoto oscillators; Multi agent systems; Synchronization

Indexed keywords

CONTROL THEORY; MULTI AGENT SYSTEMS; NATURAL FREQUENCIES; STABILIZATION; SYNCHRONIZATION;

EID: 61349100317     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.2007884     Document Type: Article
Times cited : (418)

References (24)
  • 1
    • 0024165008 scopus 로고
    • Synchronous rhythmic flashing of fireflies. II
    • J. Buck, "Synchronous rhythmic flashing of fireflies. II," Quart. Rev. Biol., vol. 63, no. 3, pp. 265-289, 1988.
    • (1988) Quart. Rev. Biol , vol.63 , Issue.3 , pp. 265-289
    • Buck, J.1
  • 5
    • 21144473858 scopus 로고
    • Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
    • J. L. van Hemmen and W. F. Wreszinski, "Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators," J. Stat. Phys. vol. 72, pp. 145-166, 1993.
    • (1993) J. Stat. Phys , vol.72 , pp. 145-166
    • van Hemmen, J.L.1    Wreszinski, W.F.2
  • 7
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jun
    • A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Automat. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
    • (2003) IEEE Trans. Automat. Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 8
    • 8744297187 scopus 로고    scopus 로고
    • On the stability of the Kuramoto model of coupled nonlinear oscillators
    • A. Jadbabaie, N. Motee, and M. Barahona, "On the stability of the Kuramoto model of coupled nonlinear oscillators," in Proc. Amer. Control Conf., 2004, pp. 4296-4301.
    • (2004) Proc. Amer. Control Conf , pp. 4296-4301
    • Jadbabaie, A.1    Motee, N.2    Barahona, M.3
  • 9
    • 0004178386 scopus 로고    scopus 로고
    • Upper Saddle River, NJ: Prentice Hall
    • H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 10
    • 61349156156 scopus 로고    scopus 로고
    • Y. Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, in Proc. Int. Symp. Math. Problems Theoret. Phys., Lecture Notes Phys., New York, NY, 1975, 39, pp. 420-422.
    • Y. Kuramoto, "Self-entrainment of a population of coupled non-linear oscillators," in Proc. Int. Symp. Math. Problems Theoret. Phys., Lecture Notes Phys., New York, NY, 1975, vol. 39, pp. 420-422.
  • 12
    • 19944397131 scopus 로고    scopus 로고
    • The spectrum of locked state for the Kuramoto model of coupled oscillators
    • R. E. Mirollo and S. H. Strogatz, "The spectrum of locked state for the Kuramoto model of coupled oscillators," Phys. D: Nonlin. Phenom., vol. 205, no. 1-4, pp. 249-266, 2005.
    • (2005) Phys. D: Nonlin. Phenom , vol.205 , Issue.1-4 , pp. 249-266
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 13
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of dynamic agents with switching topology and time-delays
    • Sep
    • R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of dynamic agents with switching topology and time-delays," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 14
    • 14644434992 scopus 로고    scopus 로고
    • Existence of partial entrainment and stability of phase locking behavior of coupled oscillators
    • J. A. Rogge and D. Aeyels, "Existence of partial entrainment and stability of phase locking behavior of coupled oscillators," Progress Theoret. Phys., vol. 112, no. 6, pp. 921-942, 2004.
    • (2004) Progress Theoret. Phys , vol.112 , Issue.6 , pp. 921-942
    • Rogge, J.A.1    Aeyels, D.2
  • 15
    • 9944234406 scopus 로고    scopus 로고
    • Stability of phase locking in a ring of unidirectionally coupled oscillators
    • J. A. Rogge and D. Aeyels, "Stability of phase locking in a ring of unidirectionally coupled oscillators," J. Phys. A, vol. 37, pp. 11135-11148, 2004.
    • (2004) J. Phys. A , vol.37 , pp. 11135-11148
    • Rogge, J.A.1    Aeyels, D.2
  • 16
    • 84879999071 scopus 로고    scopus 로고
    • Collection motion and oscillator synchronization
    • V. Kumar, N. E. Leonard, and A. S. Morse, Eds. Berlin, Germany: Springer Verlag
    • R. Sepulchre, D. Paley, and N. E. Leonard, "Collection motion and oscillator synchronization," in Cooperative Control, Lecture Notes in Control and Information Sciences, V. Kumar, N. E. Leonard, and A. S. Morse, Eds. Berlin, Germany: Springer Verlag, 2004, vol. 309, pp. 189-206.
    • (2004) Cooperative Control, Lecture Notes in Control and Information Sciences , vol.309 , pp. 189-206
    • Sepulchre, R.1    Paley, D.2    Leonard, N.E.3
  • 17
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S. H. Strogatz, "From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators," Physica D vol. 143, no. 1-4, pp. 1-20, 2000.
    • (2000) Physica D , vol.143 , Issue.1-4 , pp. 1-20
    • Strogatz, S.H.1
  • 20
    • 0000254372 scopus 로고
    • Acoustic synchrony: Two mechanisms in the snowy tree cricket
    • T. J.Walker, "Acoustic synchrony: Two mechanisms in the snowy tree cricket," Science, vol. 166, no. 3907, pp. 891-894, 1969.
    • (1969) Science , vol.166 , Issue.3907 , pp. 891-894
    • Walker, T.J.1
  • 21
    • 12344327544 scopus 로고    scopus 로고
    • On partial contraction analysis for coupled nonlinear oscillators
    • W. Wang and J. J. E. Slotine, "On partial contraction analysis for coupled nonlinear oscillators," Biol. Cybern., vol. 92, no. 1, pp. 38-53, 2005.
    • (2005) Biol. Cybern , vol.92 , Issue.1 , pp. 38-53
    • Wang, W.1    Slotine, J.J.E.2
  • 23
    • 0001247744 scopus 로고    scopus 로고
    • Frequency locking in Josephson arrays: Connection with the Kuramoto model
    • K. Wiesenfeld, P. Colet, and S. H. Strogatz, "Frequency locking in Josephson arrays: Connection with the Kuramoto model," Phys. Rev. E vol. 57, no. 2, pp. 1563-1569, 1998.
    • (1998) Phys. Rev. E , vol.57 , Issue.2 , pp. 1563-1569
    • Wiesenfeld, K.1    Colet, P.2    Strogatz, S.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.