Authors

B. Maschke, R. Ortega, A.J. Van Der Schaft

Abstract

No available

Citation

  • Journal: IEEE Transactions on Automatic Control
  • Year: 2000
  • Volume: 45
  • Issue: 8
  • Pages: 1498–1502
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
  • DOI: 10.1109/9.871758

BibTeX

@article{Maschke_2000,
  title={{Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation}},
  volume={45},
  ISSN={0018-9286},
  DOI={10.1109/9.871758},
  number={8},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Maschke, B. and Ortega, R. and Van Der Schaft, A.J.},
  year={2000},
  pages={1498--1502}
}

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References

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  • sarlashkar, Hamilton/Lagrange formalisms in stability analysis of detailed power system models (1996)
  • stramigioli, passive output feedback and port interconnection. Proc 4th IFAC Symp Nonlinear Control Systems Design (NOLCOS 98) (1998)
  • Van Der Schaft, A. J. & Maschke, B. M. On the Hamiltonian formulation of nonholonomic mechanical systems. Reports on Mathematical Physics 34, 225–233 (1994) – 10.1016/0034-4877(94)90038-8
  • van der schaft, the hamiltonian formulation of energy-conserving physical systems with external ports. Archiv f&#x00FC r Elektronik und &#x00DC bertragungstechnik (1995)
  • van der Schaft, A. L2 - Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer London, 2000). doi:10.1007/978-1-4471-0507-7 – 10.1007/978-1-4471-0507-7
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  • Marsden, J. E. Lectures on Mechanics. (1992) doi:10.1017/cbo9780511624001 – 10.1017/cbo9780511624001
  • maschke, an energy based derivation of lyapunov function for forced systems with application to stabilizing control. Proc IFAC World Congress (1999)
  • 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
  • khalil, Nonlinear Systems (1996)
  • Dalsmo, M. & van der Schaft, A. On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems. SIAM J. Control Optim. 37, 54–91 (1998) – 10.1137/s0363012996312039
  • ortega, (0)