| 子结钩链及LQ控制的能量代数 |
| |
| 引用本文： | 钟万勰.子结钩链及LQ控制的能量代数[J].大连理工大学学报,1991(6). |
| |
| 作者姓名： | 钟万勰 |
| |
| 作者单位： | 大连理工大学工程力学研究所 |
| |
| 摘 要： | 从子结构链与 ＬＱ控制相模拟的理论推知各种能量四元表示的等价性，指出能量表示也可以变换到 Ｓｉｍｐｌｅｔｉｃ矩阵的表示；反之亦然。能量的四元表示是一种代数体，其乘法规则就是连续消元运算，并指出这就是辛矩阵的乘法规则。能量代数的提出有利于数学家的介入，在理论上进一步推动结构力学与最优控制及哈密尔顿体系的联系。
|
| 关 键 词： | 能量法 子结构法 LQG问题 代数/辛 |
Energy algebra of substructure chain and LQ control |
| |
| Zhong Wanxie.Energy algebra of substructure chain and LQ control[J].Journal of Dalian University of Technology,1991(6). |
| |
| Authors: | Zhong Wanxie |
| |
| Abstract: | From the simulation theory of substructure chain and LQ control, the equivalence of various energy 4-tuple representations of substructures and/or time intervals is shown. The energy representation can also be transformed to the Simpletic matrix representation and vice versa. The energy 4-tuple representation is also an algebra, multiplication of which is the assembling and condensation operation of the substructures. The multiplication satisfies the associative law,but not the commutative law. The establishment of energy algebra will promote the theory of structural mechanics and optimal control, and their connection with Hamiltonian system theory. |
| |
| Keywords: | energy method substructure method LQG problem algebra /Simpletic |
| 本文献已被 CNKI 等数据库收录！ |
