ON ADJOINTS OF HAMILTONIAN SYSTEMS
ON ADJOINTS OF HAMILTONIAN SYSTEMS
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关于哈密尔顿系统的伴随物
DOI：
10.3182/20020721-6-es-1901.00251
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
T. Sugie
中科院分区：
文献类型：
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作者：
K. Fujimoto;T. Sugie
摘要本文研究了哈密顿控制系统变分伴随的状态空间实现。证明了一类哈密顿系统的变分系统具有自伴随的状态空间实现，即变分系统与其伴随系统具有相同的状态空间实现。这意味着一个给定的哈密顿系统的变分系统的伴随的输入-输出映射只能通过原始系统的输入-输出映射来计算。进一步，将这一性质应用于具有最优控制类型代价函数的基于伴随的迭代学习控制。
Abstract This paper is concerned with state-space realizations of the adjoints of the variationals of Hamiltonian control systems. It will be shown that the variational systems of a class of Hamiltonian systems have self-adjoint state-space realizations, that is, the variational system and its adjoint have the same state-space realizations. This implies that the input-output mapping of the adjoint of the variational system of a given Hamiltonian system can be calculated by only using the input-output mapping of the original system. Furthermore, this property is applied to adjoint based iterative learning control with optimal control type cost functions.