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Volumn 50, Issue 3, 2007, Pages 575-585

Switching-induced stable limit cycles

Author keywords

Border collision bifurcations; Continuation methods; Grazing; Hybrid dynamical systems; Limit cycles; Piecewise smooth dynamics; Shooting methods

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; PROBLEM SOLVING; VOLTAGE CONTROL;

EID: 35148881976     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9175-0     Document Type: Article
Times cited : (32)

References (26)
  • 5
    • 0032636381 scopus 로고    scopus 로고
    • Transient stability assessment with unstable limit cycle approximation
    • 2
    • Howell, F., Venkatasubramanian, V.: Transient stability assessment with unstable limit cycle approximation. IEEE Trans. Power Syst. 14(2), 667-677 (1999)
    • (1999) IEEE Trans. Power Syst. , vol.14 , pp. 667-677
    • Howell, F.1    Venkatasubramanian, V.2
  • 6
    • 0035712516 scopus 로고    scopus 로고
    • Stability of hybrid system limit cycles: Application to the compass gait biped robot
    • Orlando, FL (December)
    • Hiskens, I.A.: Stability of hybrid system limit cycles: Application to the compass gait biped robot. In: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL (December 2001)
    • (2001) Proceedings of the 40th IEEE Conference on Decision and Control
    • Hiskens, I.A.1
  • 7
    • 33744748973 scopus 로고    scopus 로고
    • Shooting methods for locating grazing phenomena in hybrid systems
    • 3
    • Donde, V., Hiskens, I.A.: Shooting methods for locating grazing phenomena in hybrid systems. Int. J. Bifurcation Chaos 16(3), 671-692 (2006)
    • (2006) Int. J. Bifurcation Chaos , vol.16 , pp. 671-692
    • Donde, V.1    Hiskens, I.A.2
  • 11
    • 24344435169 scopus 로고    scopus 로고
    • Operational semantics of hybrid systems
    • Hybrid Systems: Computation and Control Morari, M., Thiele, L. (eds.) Springer, Berlin
    • Lee, E.A., Zheng, H.: Operational semantics of hybrid systems. In: Hybrid Systems: Computation and Control. Lecture Notes in Computer Science, Morari, M., Thiele, L. (eds.) Vol. 3414, pp. 25-53. Springer, Berlin (2005)
    • (2005) Lecture Notes in Computer Science , vol.3414 , pp. 25-53
    • Lee, E.A.1    Zheng, H.2
  • 14
    • 0031257067 scopus 로고    scopus 로고
    • Efficient sensitivity analysis of large-scale differential-algebraic systems
    • Feehery, W.F., Tolsma, J.E., Barton, P.I.: Efficient sensitivity analysis of large-scale differential-algebraic systems. Appl. Numer. Math. 25, 41-54 (1997)
    • (1997) Appl. Numer. Math. , vol.25 , pp. 41-54
    • Feehery, W.F.1    Tolsma, J.E.2    Barton, P.I.3
  • 15
    • 0033891499 scopus 로고    scopus 로고
    • Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem
    • 8
    • Li, S., Petzold, L., Zhu, W.: Sensitivity analysis of differential-algebraic equations: a comparison of methods on a special problem. Appl. Numer. Math. 32(8), 161-174 (2000)
    • (2000) Appl. Numer. Math. , vol.32 , pp. 161-174
    • Li, S.1    Petzold, L.2    Zhu, W.3
  • 19
    • 0035911618 scopus 로고    scopus 로고
    • Grazing and border-collision in piecewise-smooth systems: A unified analytical framework
    • 12
    • di Bernardo, M., Budd, C.J., Champneys, A.R.: Grazing and border-collision in piecewise-smooth systems: A unified analytical framework. Phys. Rev. Lett. 86(12), 2553-2556 (2001)
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2553-2556
    • Di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 23
    • 33746715031 scopus 로고    scopus 로고
    • Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
    • 1961
    • Fredriksson, M.H., Nordmark, A.B.: Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators. Proc. R. Soc. Lond. A 453(1961), 1261-1276 (1997)
    • (1997) Proc. R. Soc. Lond. A , vol.453 , pp. 1261-1276
    • Fredriksson, M.H.1    Nordmark, A.B.2
  • 24
    • 0037105976 scopus 로고    scopus 로고
    • Bifurcations of dynamical systems with sliding: Derivation of normal-form mappings
    • di Bernardo, M., Kowalczyk, P., Nordmark, A.B.: Bifurcations of dynamical systems with sliding: derivation of normal-form mappings. Phys. D 170, 175-205 (2002)
    • (2002) Phys. D , vol.170 , pp. 175-205
    • Di Bernardo, M.1    Kowalczyk, P.2    Nordmark, A.B.3
  • 25
    • 0001050846 scopus 로고
    • Border-collision bifurcations: An explanation for observed bifurcation phenomena
    • 2
    • Nusse, H.E., Ott, E., Yorke, J.A.: Border-collision bifurcations: an explanation for observed bifurcation phenomena. Phys. Rev. E 49(2), 1073-1077 (1994)
    • (1994) Phys. Rev. e , vol.49 , pp. 1073-1077
    • Nusse, H.E.1    Ott, E.2    Yorke, J.A.3
  • 26
    • 84945924920 scopus 로고    scopus 로고
    • Bifurcation phenomena in hybrid dynamical systems
    • Proceedings of the IEEE International Symposium on Circuits and Systems Bangkok, Thailand
    • Banerjee, S., Hassouneh, M.A.: Bifurcation phenomena in hybrid dynamical systems. In: Proceedings of the IEEE International Symposium on Circuits and Systems, Bangkok, Thailand. Tutorial Guide Vol. 2, pp. 37-46 (2003)
    • (2003) Tutorial Guide , vol.2 , pp. 37-46
    • Banerjee, S.1    Hassouneh, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.