Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry
نویسندگان
چکیده
منابع مشابه
Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry
We develop reduction theory for controlled Lagrangian and controlled Hamiltonian systems with symmetry. Reduction theory for these systems is needed in a variety of examples, such as a spacecraft with rotors, a heavy top with rotors, and underwater vehicle dynamics. One of our main results shows the equivalence of the method of reduced controlled Lagrangian systems and that of reduced controlle...
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We extend the theory of controlled Lagrangian systems to include systems with symmetry and the Lagrangian reduction theory. This extension is crucial to study examples such as spacecraft control, underwater vehicle control, etc.
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2004
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012902412951