메뉴 건너뛰기




Volumn 14, Issue 6, 2012, Pages 1690-1697

Necessary and sufficient conditions for consensus of delayed fractional-order systems

Author keywords

Consensus; fractional order systems; input delay; Nyquist stability criterion

Indexed keywords

ALGEBRA; FREQUENCY DOMAIN ANALYSIS; LAPLACE TRANSFORMS; STABILITY CRITERIA; TOPOLOGY;

EID: 84870310464     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.492     Document Type: Article
Times cited : (115)

References (26)
  • 2
    • 12944314808 scopus 로고    scopus 로고
    • Necessary and sufficient graphical conditions for formation control of unicycles
    • DOI 10.1109/TAC.2004.841121
    • Lin, Z., B. Francis, and, M. Maggiore, " Necessary and sufficient graphical conditions for formation control of unicycles," IEEE Trans. Autom. Control, Vol. 50, No. 1, pp. 121-127 (2005). (Pubitemid 40173734)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.1 , pp. 121-127
    • Lin, Z.1    Francis, B.2    Maggiore, M.3
  • 3
    • 4644317383 scopus 로고    scopus 로고
    • Information flow and cooperative control of vehicle formations
    • No.
    • Fax, J., and, R. Murray, " Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, Vol. 49, No. 9, pp. 1465-1476 (2004).
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.9 , pp. 1465-1476
    • Fax, J.1    Murray, R.2
  • 4
    • 33748936901 scopus 로고    scopus 로고
    • Coordination and geometric optimization via distributed dynamical systems
    • DOI 10.1137/S0363012903428652
    • Cortés, J., and, F. Bullo, " Coordination and geometric optimization via distributed dynamical systems," SIAM J. Control Optim. Vol. 44, No. 5, pp. 1543-1574 (2006). (Pubitemid 44433976)
    • (2006) SIAM Journal on Control and Optimization , vol.44 , Issue.5 , pp. 1543-1574
    • Cortes, J.1    Bullo, F.2
  • 6
    • 68949111842 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with double-integrator dynamics and time-varying delays
    • No.
    • Sun, Y., and, L. Wang, " Consensus problems in networks of agents with double-integrator dynamics and time-varying delays," Int. J. Control, Vol. 82, No. 10, pp. 1937-1945 (2009).
    • (2009) Int. J. Control , vol.82 , Issue.10 , pp. 1937-1945
    • Sun, Y.1    Wang, L.2
  • 7
    • 51449117054 scopus 로고    scopus 로고
    • On consensus algorithms for double-integrator dynamics
    • No.
    • Ren, W., " On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, Vol. 53, No. 6, pp. 1503-1509 (2008).
    • (2008) IEEE Trans. Autom. Control , vol.53 , Issue.6 , pp. 1503-1509
    • Ren, W.1
  • 8
    • 34250813905 scopus 로고    scopus 로고
    • Distributed multi-vehicle coordinated control via local information exchange
    • DOI 10.1002/rnc.1147
    • Ren, W., and, E. Atkins, " Distributed multi-vehicle coordinated control via local information exchange," Int. J. Robust Nonlinear Control, Vol. 17, No. 10-11, pp. 1002-1033 (2007). (Pubitemid 46988747)
    • (2007) International Journal of Robust and Nonlinear Control , vol.17 , Issue.10-11 , pp. 1002-1033
    • Ren, W.1    Atkins, E.2
  • 10
    • 77950795822 scopus 로고    scopus 로고
    • Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays
    • Shanghai, China
    • Münz, U., A. Papachristodoulou, and, F. Allgöwer, "Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays," 48th IEEE Conf. Deci. and Control, Shanghai, China, pp. 4765-4771 (2009).
    • (2009) 48th IEEE Conf. Deci. and Control , pp. 4765-4771
    • Münz, U.1    Papachristodoulou, A.2    Allgöwer, F.3
  • 11
    • 77949774166 scopus 로고    scopus 로고
    • Distributed coordination of networked fractional-order systems
    • No.
    • Cao, Y., Y. Li, W. Ren, and, Y. Chen, " Distributed coordination of networked fractional-order systems.," IEEE Trans. Syst. Man Cybern. Part B, Cybern., Vol. 40, No. 2, pp. 362-370 (2009).
    • (2009) IEEE Trans. Syst. Man Cybern. Part B, Cybern. , vol.40 , Issue.2 , pp. 362-370
    • Cao, Y.1    Li, Y.2    Ren, W.3    Chen, Y.4
  • 12
    • 77950022284 scopus 로고    scopus 로고
    • Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping
    • No.
    • Cao, Y., and, W. Ren, " Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping," Syst. Control Lett., Vol. 59, No. 3-4, pp. 233-240 (2010).
    • (2010) Syst. Control Lett. , vol.59 , Issue.34 , pp. 233-240
    • Cao, Y.1    Ren, W.2
  • 13
    • 84862937075 scopus 로고    scopus 로고
    • Convergence speed of a fractional order consensus algorithm over undirected scale-free networks
    • No.
    • Sun, W., Y. Li, C. Li, and, Y. Chen, " Convergence speed of a fractional order consensus algorithm over undirected scale-free networks," Asian J. Control, Vol. 13, No. 6, pp. 936-946 (2011).
    • (2011) Asian J. Control , vol.13 , Issue.6 , pp. 936-946
    • Sun, W.1    Li, Y.2    Li, C.3    Chen, Y.4
  • 14
    • 37749018625 scopus 로고    scopus 로고
    • Fractional-order control: Theory and applications in motion control
    • No.
    • Ma, C., and, Y. Hori, " Fractional-order control: Theory and applications in motion control," IEEE Ind. Electron. Mag., Vol. 1, No. 4, pp. 6-16 (2007).
    • (2007) IEEE Ind. Electron. Mag. , vol.1 , Issue.4 , pp. 6-16
    • Ma, C.1    Hori, Y.2
  • 15
    • 47249126873 scopus 로고    scopus 로고
    • "fractional dynamics in mechanical manipulation
    • No. 021203.
    • Lima, M., J. Machado, and, M. Crisõstomo, "Fractional dynamics in mechanical manipulation," J. Comput. Nonlinear Dyn., Vol. 3, No. 2, 021203 (2008).
    • (2008) J. Comput. Nonlinear Dyn. , vol.3 , Issue.2
    • Lima, M.1    MacHado, J.2    Crisõstomo, M.3
  • 16
    • 47249145244 scopus 로고    scopus 로고
    • Fractional constrained systems and Caputo derivatives
    • No. 021102.
    • Baleanu, D., " Fractional constrained systems and Caputo derivatives," J. Computat. Nonlinear Dyn., Vol. 3, No. 2, 021102 (2008).
    • (2008) J. Computat. Nonlinear Dyn. , vol.3 , Issue.2
    • Baleanu, D.1
  • 17
    • 47249091411 scopus 로고    scopus 로고
    • Application of incomplete gamma functions to the initialization of fractional-order systems
    • No. 021103.
    • Hartley, T., and, C. Lorenzo, " Application of incomplete gamma functions to the initialization of fractional-order systems," J. Computat. Nonlinear Dyn., Vol. 3, No. 2, 021103 (2008).
    • (2008) J. Computat. Nonlinear Dyn. , vol.3 , Issue.2
    • Hartley, T.1    Lorenzo, C.2
  • 18
    • 47249104351 scopus 로고    scopus 로고
    • Initialization of fractional-order operators and fractional differential equations
    • No. 021101.
    • Lorenzo, C., and, T. Hartley, " Initialization of fractional-order operators and fractional differential equations," J. Comput. and Nonlinear Dyn., Vol. 3, No. 2, 021101 (2008).
    • (2008) J. Comput. and Nonlinear Dyn. , vol.3 , Issue.2
    • Lorenzo, C.1    Hartley, T.2
  • 20
    • 54349087390 scopus 로고    scopus 로고
    • Consensus of multi-agent systems with diverse input and communication delays
    • No.
    • Tian, Y., and, C. Liu, " Consensus of multi-agent systems with diverse input and communication delays," IEEE Trans. Autom. Control, Vol. 53, No. 9, pp. 2122-2128 (2008).
    • (2008) IEEE Trans. Autom. Control , vol.53 , Issue.9 , pp. 2122-2128
    • Tian, Y.1    Liu, C.2
  • 21
    • 33746219707 scopus 로고    scopus 로고
    • State consensus for multi-agent systems with switching topologies and time-varying delays
    • DOI 10.1080/00207170600825097, PII T4753H26N65H1547
    • Xiao, F., and, L. Wang, " State consensus for multi-agent systems with switching topologies and time-varying delays," Int. J. Control, Vol. 79, No. 10, pp. 1277-1284 (2006). (Pubitemid 44091782)
    • (2006) International Journal of Control , vol.79 , Issue.10 , pp. 1277-1284
    • Xiao, F.1    Wang, L.2
  • 22
    • 77953129248 scopus 로고    scopus 로고
    • Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems
    • Yu, W., G. Chen, and, M. Cao, " Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems," Automatica (2010).
    • (2010) Automatica
    • Yu, W.1    Chen, G.2    Cao, M.3
  • 23
    • 3142647587 scopus 로고    scopus 로고
    • Stability of the internet congestion control with diverse delays
    • No.
    • Tian, Y., and, H. Yang, " Stability of the internet congestion control with diverse delays," Automatica Vol. 40, No. 9, pp. 1533-1541 (2004).
    • (2004) Automatica , vol.40 , Issue.9 , pp. 1533-1541
    • Tian, Y.1    Yang, H.2
  • 25
    • 0036650867 scopus 로고    scopus 로고
    • Analytical stability bound for a class of delayed fractional-order dynamic systems
    • DOI 10.1023/A:1016591006562, Fractional Order Calculus and Its Applications
    • Chen, Y., and, K. Moore, " Analytical stability bound for a class of delayed fractional-order dynamic systems," Nonlinear Dynamics, Vol. 29, pp. 191-200 (2002). (Pubitemid 34945398)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 191-200
    • Chen, Y.1    Moore, K.L.2
  • 26
    • 33947133956 scopus 로고    scopus 로고
    • Stability analysis of linear fractional differential system with multiple time delays
    • DOI 10.1007/s11071-006-9094-0
    • Deng, W., C. Li, and, J. Lü, " Stability analysis of linear fractional differential system with multiple time delays," Nonlinear Dyn., Vol. 48, pp. 409-416 (2007). (Pubitemid 46407957)
    • (2007) Nonlinear Dynamics , vol.48 , Issue.4 , pp. 409-416
    • Deng, W.1    Li, C.2    Lu, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.