Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry
Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry
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具有对称性的受控拉格朗日和哈密顿系统的约简
DOI：
10.1137/s0363012902412951
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
J. Marsden
中科院分区：
文献类型：
--
作者：
D. Chang;J. Marsden
我们开发了具有对称性的受控拉格朗日系统和受控哈密顿系统的约简理论。在各种示例中都需要这些系统的简化理论，例如带转子的航天器、带转子的重型顶部以及水下航行器动力学。我们的主要结果之一表明，在具有对称性的简单机械系统的情况下，简化受控拉格朗日系统方法与简化受控哈密顿系统方法是等效的。
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 controlled Hamiltonian systems in the case of simple mechanical systems with symmetry.