Advanced search
Publication Cover
Journal of the Chinese Institute of Engineers Volume 11, 1988 - Issue 2
Submit an article Journal homepage
10
Views
2
CrossRef citations to date
0
Altmetric
Short Papers

Feedback stabilization of nonlinear Hamiltonian control systems

Jing‐Sin Liu Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, 10769, R.O.C.
,
Wei‐Song Lin Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, 10769, R.O.C.
&
King Yuan Department of Mechanical‐ Engineering, National Taiwan University, Taipei, Taiwan, 10769, R.O.C.
Pages 187-192 | Received 02 Sep 1987, Accepted 15 Oct 1987, Published online: 04 May 2011

References

  • Arnold , V. I. 1978 . Mathematical Methods of Classical Mechanics , New York, N. Y. : Springer Verlag .
  • Balas , M. J. 1979 . “Direct Velocity Feedback Control of Large Space Structures” . J. Guid. Control , 2 ( 3 ) : 252 – 253 .
  • Jurdjevic , V. and Quinn , J. P. 1978 . “Controllability and Stability” . J. Diff. Equations , 28 : 381 – 389 .
  • La Salle , J. P. and Lefschetz , S. 1961 . Stability by Lyapunov Direct Methods with Applications , New York, N. Y. : Academic Press .
  • Marsden , J. E. and Hughes , T. J. R. 1983 . Mathematical Foundations of Elasticity , Engle‐wood Cliffs, N. J. : Prentice‐Hall .
  • Miller , R. K. and Michel , A. N. 1980 . “Asymptotic Stability of Systems: Results Involving the System Topology” . SIAM, J. Control Optim. , 18 ( 2 ) : 181 – 190 .
  • Singh , S. N. 1982 . “Stabilizing Feedback Controls for Nonlinear Hamiltonian Systems Nonconservative Bilinear Systems in Elasticity” . ASME, J. Dyn. Syst. Meas. Control , 147 : 27 – 32 .
  • Slemrod , M. 1978 . “Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity” . SIAM, J. Control Optim. , 16 : 131 – 141 .
  • Takegaki , M. and Arimoto , S. 1981 . “A New Feedback Method for Dynamic Control of Manipulators” . ASME, J. Dyn. Syst. Meas. Control , 103 : 119 – 125 .
  • Van der Schaft , A. J. 1982 . “Controllability and Observability for Affine Nonlinear Hamiltonian Systems” . IEEE Trans. Autom. Control , AC‐27 ( 2 ) : 490 – 492 .
  • Van der Schaft , A. J. 1986 . “Stabilization of Hamiltonian Systems” . Nonlinear Anal. Theory Methods Appl. , 10 ( 10 ) : 1021 – 1035 .
  • Weinstein , A. 1984 . “Stability of Poisson‐Hamiltonian Equilibria” . Contemporary Math. , 28 : 3 – 13 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.