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Volumn 13, Issue 4, 2003, Pages 879-893

Local feedback control of the Neimark-Sacker bifurcation

Author keywords

Bifurcation; Feedback control; Limit cycles; Neimark Sacker bifurcation; Nonlinear systems; Stabilization

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; BIFURCATION (MATHEMATICS); CONTROL EQUIPMENT; DISCRETE TIME CONTROL SYSTEMS; STABILIZATION;

EID: 0037732523     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403006972     Document Type: Article
Times cited : (11)

References (35)
  • 1
    • 0022661079 scopus 로고
    • Local feedback stabilization and bifurcation control, I. Hopf bifurcation
    • Abed, E. H. & Fu, J. H. [1986] "Local feedback stabilization and bifurcation control, I. Hopf bifurcation," Syst. Contr. Lett. 7, 11-17.
    • (1986) Syst. Contr. Lett. , vol.7 , pp. 11-17
    • Abed, E.H.1    Fu, J.H.2
  • 2
    • 0023346390 scopus 로고
    • Local feedback stabilization and bifurcation control, II. Stationary bifurcation
    • Abed, E. H. & Fu, J. H. [1987] "Local feedback stabilization and bifurcation control, II. Stationary bifurcation," Syst. Contr. Lett. 8, 467-473.
    • (1987) Syst. Contr. Lett. , vol.8 , pp. 467-473
    • Abed, E.H.1    Fu, J.H.2
  • 3
    • 0000543326 scopus 로고
    • Stabilization of period doubling bifurcations and implications for control of chaos
    • Abed, E. H., Wang, H. O. & Chen, R. [1994] "Stabilization of period doubling bifurcations and implications for control of chaos," Physica D70, 154-164.
    • (1994) Physica , vol.D70 , pp. 154-164
    • Abed, E.H.1    Wang, H.O.2    Chen, R.3
  • 4
    • 0002535784 scopus 로고    scopus 로고
    • Control of bifurcations and chaos
    • ed. Levine, W. S. (CRC Press, Boca Raton, FL)
    • Abed, E. H., Wang, H. O. & Tesi, A. [1996] "Control of bifurcations and chaos," The Control Handbook, ed. Levine, W. S. (CRC Press, Boca Raton, FL), pp. 951-966.
    • (1996) The Control Handbook , pp. 951-966
    • Abed, E.H.1    Wang, H.O.2    Tesi, A.3
  • 5
    • 0001642818 scopus 로고
    • On self-tuning regulators
    • Astrom, K. J. & Wittenmark, B. [1973] "On self-tuning regulators," Automatica 9, 185-199.
    • (1973) Automatica , vol.9 , pp. 185-199
    • Astrom, K.J.1    Wittenmark, B.2
  • 6
    • 0001716895 scopus 로고
    • Theory and applications of self-tuning regulators
    • Astrom, K. J., Borisson, U., Ljung, L. & Wittenmark, B. [1977] "Theory and applications of self-tuning regulators," Automatica 13, 457-476.
    • (1977) Automatica , vol.13 , pp. 457-476
    • Astrom, K.J.1    Borisson, U.2    Ljung, L.3    Wittenmark, B.4
  • 8
    • 0033717490 scopus 로고    scopus 로고
    • A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators
    • Bressloff, P. C. [2000] "A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators," SIAM J. Appl. Math. 60, 820-841.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 820-841
    • Bressloff, P.C.1
  • 9
    • 0037941884 scopus 로고    scopus 로고
    • Expectational diversity in monetary economies
    • Brock, W. A. & de Fontouvelle, P. [2000] "Expectational diversity in monetary economies," J. Econ. Dyn. Contr. 24, 725-759.
    • (2000) J. Econ. Dyn. Contr. , vol.24 , pp. 725-759
    • Brock, W.A.1    De Fontouvelle, P.2
  • 11
    • 0030947323 scopus 로고    scopus 로고
    • Delayed density dependence and the stability of interacting populations and subpopulations
    • Crone, E. E. [1997] "Delayed density dependence and the stability of interacting populations and subpopulations," Theoret. Popul. Biol. 51, 67-76.
    • (1997) Theoret. Popul. Biol. , vol.51 , pp. 67-76
    • Crone, E.E.1
  • 13
    • 0024106368 scopus 로고
    • Bifurcation in model reference adaptive control systems
    • Golden, M. P. & Ydstie, B. E. [1988] "Bifurcation in model reference adaptive control systems," Syst. Contr. Lett. 11, 413-430.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 413-430
    • Golden, M.P.1    Ydstie, B.E.2
  • 14
    • 0035889390 scopus 로고    scopus 로고
    • Nonlinear discrete-time control of systems with a Neimark-Sacker bifurcation
    • Hamzi, B., Barbot, J. P., Monaco, S. & Normand-Cyrot, D. [2001] "Nonlinear discrete-time control of systems with a Neimark-Sacker bifurcation," Syst. Contr. Lett. 44, 245-258.
    • (2001) Syst. Contr. Lett. , vol.44 , pp. 245-258
    • Hamzi, B.1    Barbot, J.P.2    Monaco, S.3    Normand-Cyrot, D.4
  • 15
    • 0021497414 scopus 로고
    • Instability analysis and improvement of robustness of adaptive control
    • Ioannou, P. A. & Kokotovic, P. V. [1984] "Instability analysis and improvement of robustness of adaptive control," Automatica 20(5), 583-594.
    • (1984) Automatica , vol.20 , Issue.5 , pp. 583-594
    • Ioannou, P.A.1    Kokotovic, P.V.2
  • 16
    • 0000480907 scopus 로고
    • Bifurcation of maps and applications
    • North-Holland, Amsterdam
    • Iooss, G. [1979] Bifurcation of Maps and Applications, Math. Studies, Vol. 36 (North-Holland, Amsterdam).
    • (1979) Math. Studies , vol.36
    • Iooss, G.1
  • 17
    • 0038618099 scopus 로고
    • Simple computation of bifurcating invariant circles for mappings
    • Springer-Verlag, NY
    • Iooss, G. [1980] "Simple computation of bifurcating invariant circles for mappings," Lecture Notes in Mathematics, Vol. 898 (Springer-Verlag, NY), pp. 192-211.
    • (1980) Lecture Notes in Mathematics , vol.898 , pp. 192-211
    • Iooss, G.1
  • 18
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Kailath, T. [1980] Linear Systems (Prentice-Hall, Englewood Cliffs, NJ).
    • (1980) Linear Systems
    • Kailath, T.1
  • 20
    • 0006811833 scopus 로고    scopus 로고
    • Neimark-Sacker bifurcations in the Euler method for a delay differential equation
    • Koto, T. [1999] "Neimark-Sacker bifurcations in the Euler method for a delay differential equation," BIT 39, 110-115.
    • (1999) BIT , vol.39 , pp. 110-115
    • Koto, T.1
  • 22
    • 0022806519 scopus 로고
    • Nonlinear dynamics in adaptive control: Chaotic and periodic stabilization
    • Mareels, I. M. Y. & Bitmead, R. R. [1986] "Nonlinear dynamics in adaptive control: Chaotic and periodic stabilization," Automatica 22(6), 641-655.
    • (1986) Automatica , vol.22 , Issue.6 , pp. 641-655
    • Mareels, I.M.Y.1    Bitmead, R.R.2
  • 24
    • 0011504750 scopus 로고
    • On some cases of periodic motions depending on parameters
    • in Russian
    • Neimark, J. [1959] "On some cases of periodic motions depending on parameters," Dokl. Akad. Nauk SSSR 129, 736-739 (in Russian).
    • (1959) Dokl. Akad. Nauk SSSR , vol.129 , pp. 736-739
    • Neimark, J.1
  • 25
    • 0026616717 scopus 로고
    • The subcritical collapse of predator populations in discrete-time predator-prey models
    • Neubert, M. G. & Kot, M. [1992] "The subcritical collapse of predator populations in discrete-time predator-prey models," Math. Biosci. 110, 45-66.
    • (1992) Math. Biosci. , vol.110 , pp. 45-66
    • Neubert, M.G.1    Kot, M.2
  • 26
    • 0037603879 scopus 로고    scopus 로고
    • Oscillation and pattern formation in a system of self-regulating cells
    • Reimann, S. [1998] "Oscillation and pattern formation in a system of self-regulating cells," Physica D114, 338-361.
    • (1998) Physica , vol.D114 , pp. 338-361
    • Reimann, S.1
  • 27
    • 0021493991 scopus 로고
    • Some design guidelines for discrete-time adaptive controllers
    • Rohrs, C. E., Athans, M., Valavani, L. & Stein, G. [1984] "Some design guidelines for discrete-time adaptive controllers," Automatica 20(5), 653-660.
    • (1984) Automatica , vol.20 , Issue.5 , pp. 653-660
    • Rohrs, C.E.1    Athans, M.2    Valavani, L.3    Stein, G.4
  • 28
    • 84972537058 scopus 로고
    • A new approach to the perturbation theory of invariant surfaces
    • Sacker, R. [1965] "A new approach to the perturbation theory of invariant surfaces," Comm. Pure Appl. Math. 18, 717-732.
    • (1965) Comm. Pure Appl. Math. , vol.18 , pp. 717-732
    • Sacker, R.1
  • 29
    • 0029659922 scopus 로고    scopus 로고
    • Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations
    • Selgrade, J. F. & Roberds, J. H. [1996] "Lumped-density population models of pioneer-climax type and stability analysis of Hopf bifurcations," Math. Biosci. 135, 1-21.
    • (1996) Math. Biosci. , vol.135 , pp. 1-21
    • Selgrade, J.F.1    Roberds, J.H.2
  • 30
    • 0030235714 scopus 로고    scopus 로고
    • Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
    • Tesi, A., Abed, E. H., Genesio, R. & Wang, H. O. [1996] "Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics," Automatica 32(9), 1255-1271.
    • (1996) Automatica , vol.32 , Issue.9 , pp. 1255-1271
    • Tesi, A.1    Abed, E.H.2    Genesio, R.3    Wang, H.O.4
  • 33
    • 0030318276 scopus 로고    scopus 로고
    • Overcompensatory recruitment and generation delay in discrete age-structured population models
    • Wikan, A. & Mjolhus, E. [1996] "Overcompensatory recruitment and generation delay in discrete age-structured population models," J. Math. Biol. 35, 195-239.
    • (1996) J. Math. Biol. , vol.35 , pp. 195-239
    • Wikan, A.1    Mjolhus, E.2
  • 34
    • 0034917644 scopus 로고    scopus 로고
    • Searching predator and prey dominance in discrete predator-prey systems with dispersion
    • Yakubu, A. A. [2000] "Searching predator and prey dominance in discrete predator-prey systems with dispersion," SIAM J. Appl. Math. 61, 870-888.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 870-888
    • Yakubu, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.