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Zeitschrift für Analysis und ihre Anwendungen


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Volume 10, Issue 3, 1991, pp. 319–333
DOI: 10.4171/ZAA/453

Published online: 1991-09-30

On Structure Preserving Transformations in Hamiltonian Control Systems

Harald Abesser[1] and Joachim Steigenberger[2]

(1) Technische Universität Ilmenau, Germany
(2) Technische Universität Ilmenau, Germany

Hamiltonian control systems with natural output in the sense of [12] are considered. We investigate state-dependent co-ordinate transformations in the space of controls $u$ and observables $y$ which preserve the Hamiltonian structure.These transformations can be characterized and constructed by canonical transformations in the ($y, u$)-pace.The results generalize known statements on Hamiltonian systems affine in the control and hold for general gradient-like control systems as well.

Keywords: Nonlinear input-output systems, Hamiltonian systems, feedback transformations

Abesser Harald, Steigenberger Joachim: On Structure Preserving Transformations in Hamiltonian Control Systems. Z. Anal. Anwend. 10 (1991), 319-333. doi: 10.4171/ZAA/453