应用数学和力学(英文版)
應用數學和力學(英文版)
응용수학화역학(영문판)
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2001年
5期
557-563
,共7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
precise integration%Riccati equation%optimal control
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.
