Authors

B.M. Maschke, A.J. van der Schaft

Abstract

Keywords: Network dynamics, general Poisson structures, gyrators, Hamiltonian equations, observation space, minimal realizations

Citation

BibTeX

@inbook{Maschke_1993,
  title={{PORT-CONTROLLED HAMILTONIAN SYSTEMS: MODELLING ORIGINS AND SYSTEMTHEORETIC PROPERTIES}},
  ISBN={9780080419015},
  DOI={10.1016/b978-0-08-041901-5.50064-6},
  booktitle={{Nonlinear Control Systems Design 1992}},
  publisher={Elsevier},
  author={Maschke, B.M. and van der Schaft, A.J.},
  year={1993},
  pages={359--365}
}

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References

  • Breedveld, P. C. Thermodynamic Bond Graphs and the Problem of Thermal Inertance. Journal of the Franklin Institute 314, 15–40 (1982) – 10.1016/0016-0032(82)90050-3
  • Breedveld, P. C. Multibond graph elements in physical systems theory. Journal of the Franklin Institute 319, 1–36 (1985) – 10.1016/0016-0032(85)90062-6
  • Libermann, (1987)
  • Maschke, B. Geometrical formulation of bond graph dynamics with application to mechanisms. Journal of the Franklin Institute 328, 723–740 (1991) – 10.1016/0016-0032(91)90050-d
  • Olver, (1986)
  • Paynter, (1961)
  • Perelson, “Chemical Reaction Dynamics. Part 2: Reaction Networks”. Archive Rat. Mech. Anal. (1975)
  • van der Schaft, (1984)
  • van der Schaft, “System Theory and Mechanics”. (1989)
  • Weinstein, A. The local structure of Poisson manifolds. J. Differential Geom. 18, (1983) – 10.4310/jdg/1214437787
  • Nijmeijer, (1990)
  • Crouch, (1987)
  • Jakubczyk, “Existence of Hamiltonian realizations of nonlinear causal operators”. Bull. Pol. Ac. Math. (1986)
  • Maschke, B. M., Van Der Schaft, A. J. & Breedveld, P. C. An intrinsic hamiltonian formulation of network dynamics: non-standard poisson structures and gyrators. Journal of the Franklin Institute 329, 923–966 (1992) – 10.1016/s0016-0032(92)90049-m
  • Brocket, “Control theory and analytical mechanics”. (1977)
  • Krishnaprasad, P. S. & Marsden, J. E. Hamiltonian structures and stability for rigid bodies with flexible attachments. Arch. Rational Mech. Anal. 98, 71–93 (1987) – 10.1007/bf00279963
  • Karnopp, D. The energetic structure of multi-body dynamic systems. Journal of the Franklin Institute 306, 165–181 (1978) – 10.1016/0016-0032(78)90081-9
  • Sreenath, N., Oh, Y. G., Krishnaprasad, P. S. & Marsden, J. E. The dynamics of coupled planar rigid bodies. Part I: reduction, equilibria and stability. Dynamics and Stability of Systems 3, 25–49 (1988) – 10.1080/02681118808806044
  • Isidori, (1989)
  • Barbot, J. P., Maschke, B. & Servettaz, G. MODELLING AND CONTROL OF A TWO-AXIS ROBOT WITH FLEXIBLE LINKS. Nonlinear Control Systems Design 1989 373–378 (1990) doi:10.1016/b978-0-08-037022-4.50070-3 – 10.1016/b978-0-08-037022-4.50070-3