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Canonical transformation and stabilization of generalized Hamiltonian systems

โœ Scribed by Kenji Fujimoto; Toshiharu Sugie

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
124 KB
Volume
42
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

This paper introduces generalized canonical transformations for generalized Hamiltonian systems which convert a generalized Hamiltonian system into another one, and preserve the generalized Hamiltonian structure of the original. As in classical mechanics, it is expected that canonical transformations will provide new insights and fundamental tools for both analysis and synthesis of those systems. Firstly, the class of generalized canonical transformations and some of their properties are indicated. Secondly, it is shown how to stabilize the generalized Hamiltonian systems using canonical transformations. In addition, some examples illustrate how such transformations are utilized for control systems design.

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