节点文献
精细积分区段混合能矩阵的一种计算方法
A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration
【摘要】 根据结构力学与最优控制的模拟理论中阐述的各混合能矩阵的力学意义 ,介绍了一种利用微分方程组的状态转移矩阵计算区段混合能矩阵的方法 ,其计算结果与泰勒级数展开法是一致的
【Abstract】 To solve the Riccati equation of LQ control problem, the computation of interval mixed variable energy matrices is the first step. Taylor expansion can be used to compute the matrices. According to the analogy between structural mechanics and optimal control and the mechanical implication of the matrices, a computational method using state transition matrix of differential equation was presented. Numerical examples are provided to show the effectiveness of the present approach.
【基金】 国防 95预研资助项目!(A9660 0 0_50 )
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2001年05期
- 【分类号】O232
- 【被引频次】19
- 【下载频次】101