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Volumn 56, Issue 2, 2009, Pages 177-181

Contraction theory and master stability function: Linking two approaches to study synchronization of complex networks

Author keywords

Complex networks; Contraction theory; Master stability function; Synchronization

Indexed keywords

LYAPUNOV METHODS; SYNCHRONIZATION;

EID: 62749205064     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2008.2011611     Document Type: Article
Times cited : (92)

References (20)
  • 1
    • 0025567093 scopus 로고
    • Synchronization of pulse-coupled biological oscillators
    • Dec
    • R. E. Mirollo and S. H. Strogatz, "Synchronization of pulse-coupled biological oscillators," SIAM J. Appl. Math., vol. 50, no. 6, pp. 1645-1662, Dec. 1990.
    • (1990) SIAM J. Appl. Math , vol.50 , Issue.6 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 2
    • 0035783892 scopus 로고    scopus 로고
    • Oscillations, SE(2)-snakes and motion control: A study of the roller racer
    • Dec
    • P. Krishnaprasad and D. Tsakiris, "Oscillations, SE(2)-snakes and motion control: A study of the roller racer," Dyn. Syst., vol. 16, no. 4, pp. 347-397, Dec. 2001.
    • (2001) Dyn. Syst , vol.16 , Issue.4 , pp. 347-397
    • Krishnaprasad, P.1    Tsakiris, D.2
  • 3
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • M. E. J. Newman, "The structure and function of complex networks," SIAM Rev., vol. 45, no. 2, pp. 167-256, 2003.
    • (2003) SIAM Rev , vol.45 , Issue.2 , pp. 167-256
    • Newman, M.E.J.1
  • 4
    • 4444281406 scopus 로고
    • Analysis and synthesis of synchronous periodic and chaotic systems
    • Dec
    • R. He and P. G. Vaidya, "Analysis and synthesis of synchronous periodic and chaotic systems," Phys. Rev. A, Gen. Phys., vol. 46, no. 12, pp. 7387-7392, Dec. 1992.
    • (1992) Phys. Rev. A, Gen. Phys , vol.46 , Issue.12 , pp. 7387-7392
    • He, R.1    Vaidya, P.G.2
  • 6
    • 2642553875 scopus 로고    scopus 로고
    • Convergent dynamics, a tribute to Boris Pavlovich Demidovich
    • Mar
    • A. Pavlov, A. Pogromvsky, N. van de Wouv, and H. Nijmeijer, "Convergent dynamics, a tribute to Boris Pavlovich Demidovich," Syst. Control Lett., vol. 52, no. 3, pp. 257-261, Mar. 2004.
    • (2004) Syst. Control Lett , vol.52 , Issue.3 , pp. 257-261
    • Pavlov, A.1    Pogromvsky, A.2    van de Wouv, N.3    Nijmeijer, H.4
  • 7
    • 0036493650 scopus 로고    scopus 로고
    • A Lyapunov approach to incremental stability properties
    • Mar
    • D. Angeli, "A Lyapunov approach to incremental stability properties," IEEE Trans. Autom. Control, vol. 47, no. 3, pp. 410-421, Mar. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.3 , pp. 410-421
    • Angeli, D.1
  • 8
    • 0034013767 scopus 로고    scopus 로고
    • Nonlinear process control using contraction theory
    • Mar
    • W. Lohmiller and J. J. E. Slotine, "Nonlinear process control using contraction theory," AIChe J., vol. 46, no. 3, pp. 588-596, Mar. 2000.
    • (2000) AIChe J , vol.46 , Issue.3 , pp. 588-596
    • Lohmiller, W.1    Slotine, J.J.E.2
  • 9
    • 14244256803 scopus 로고    scopus 로고
    • Methodological remarks on contraction theory
    • J. Jouffroy and J. J. Slotine, "Methodological remarks on contraction theory," in Proc. 43rd IEEE CDC, 2004, vol. 3, pp. 2537-2543.
    • (2004) Proc. 43rd IEEE CDC , vol.3 , pp. 2537-2543
    • Jouffroy, J.1    Slotine, J.J.2
  • 10
    • 12344327544 scopus 로고    scopus 로고
    • On partial contraction analysis for coupled nonlinear oscillators
    • Jan
    • W. Wang and J. J. Slotine, "On partial contraction analysis for coupled nonlinear oscillators," Biol. Cybern., vol. 92, no. 1, pp. 38-53, Jan. 2005.
    • (2005) Biol. Cybern , vol.92 , Issue.1 , pp. 38-53
    • Wang, W.1    Slotine, J.J.2
  • 11
    • 36249001201 scopus 로고    scopus 로고
    • Contraction stability and transverse stability of synchronization in complex networks
    • Nov
    • K. Li, M. Small, and X. Fu, "Contraction stability and transverse stability of synchronization in complex networks," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 76, no. 5, p. 056 213, Nov. 2007.
    • (2007) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.76 , Issue.5 , pp. 056-213
    • Li, K.1    Small, M.2    Fu, X.3
  • 12
    • 0032094219 scopus 로고    scopus 로고
    • On contraction analysis for non-linear systems
    • Jun
    • W. Lohmiller and J. Slotine, "On contraction analysis for non-linear systems," Automatica, vol. 34, no. 6, pp. 683-696, Jun. 1998.
    • (1998) Automatica , vol.34 , Issue.6 , pp. 683-696
    • Lohmiller, W.1    Slotine, J.2
  • 13
    • 59649130050 scopus 로고    scopus 로고
    • How to synchronize biological clocks
    • to be published
    • G. Russo and M. di Bernardo, "How to synchronize biological clocks," J. Comput. Biol., to be published.
    • J. Comput. Biol
    • Russo, G.1    di Bernardo, M.2
  • 14
    • 0000540384 scopus 로고    scopus 로고
    • Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays
    • May
    • K. S. Fink, "Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 61, no. 5, pp. 5080-5090, May 2000.
    • (2000) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.61 , Issue.5 , pp. 5080-5090
    • Fink, K.S.1
  • 16
    • 0001159210 scopus 로고    scopus 로고
    • Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems
    • Jul
    • L. M. Pecora, "Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 58, no. 1, pp. 347-360, Jul. 1998.
    • (1998) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.58 , Issue.1 , pp. 347-360
    • Pecora, L.M.1
  • 19
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time delays
    • Sep
    • R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 20
    • 62749200643 scopus 로고    scopus 로고
    • S. H. Strogatz, Nonlinear Dynamics and Chaos. Jackson, TN: R. Perseus, 1994.
    • S. H. Strogatz, Nonlinear Dynamics and Chaos. Jackson, TN: R. Perseus, 1994.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.