应用数学和力学
應用數學和力學
응용수학화역학
APPLIED MATHEMATICS AND MECHANICS
2001年
5期
493-498
,共6页
高索文%吴志刚%王本利%马兴瑞
高索文%吳誌剛%王本利%馬興瑞
고색문%오지강%왕본리%마흥서
精细积分%黎卡提方程%最优控制
精細積分%黎卡提方程%最優控製
정세적분%려잡제방정%최우공제
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.
根據結構力學與最優控製的模擬理論中闡述的各混閤能矩陣的力學意義，介紹瞭一種利用微分方程組的狀態轉移矩陣計算區段混閤能矩陣的方法，其計算結果與泰勒級數展開法是一緻的.
근거결구역학여최우공제적모의이론중천술적각혼합능구진적역학의의，개소료일충이용미분방정조적상태전이구진계산구단혼합능구진적방법，기계산결과여태륵급수전개법시일치적.
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.
