无穷维系统中算子Riccati方程解的注记(英文)  

A Note on the Solution of the Operator Riccati Equation for Infinite Dimensional Systems

作　　者：王朝[1] 朱经浩[2] 谢宝群 

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044 [2]同济大学数学系,上海200092

出　　处：《应用数学》2018年第1期89-94,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(61573192)

摘　　要：本文采用正交投影技巧研究无穷维系统中算子Riccati方程的解,利用有限维空间中一序列来逼近该算子Riccati方程的解.并给出一个数值例子来说明我们的结论.In this paper, by the orthogonal projection technique, a sequence of finite dimensional spaces is created to converge the solution of the operator Riccati equation for infinite dimensional systems. A numerical example is presented to illustrate the result.

关 键 词：正交投影 算子Riccati方程 无穷维系统 

分 类 号：O231.4[理学—运筹学与控制论]