摘要
本文定义了一类连续正交多项式的分离矩阵,并给出它的构造定理。此矩阵具有良好的结构和递推关系,十分便于使用数字计算机,在控制领域内有多方面的应用。
In this paper, the separative matrices of continuous orthogonal polynomials are defined, and the constructive theorem for caculating the separative matrices is presented. The separative matrices have an uptriangular structure and elegant recursive formula and have found many applications in the area of automatic control with convenience for computer use.
关键词
正交多项式
分离矩阵
orthogonal polynomials
identification
optimal control
separative matrices
orthogonal expansion