首页|一类耦合代数Riccati方程的解

一类耦合代数Riccati方程的解

扫码查看
耦合代数Riccati方程在控制论中具有广泛的应用,文章研究了 一类耦合代数Riccati方程的解.基于M-矩阵和非负矩阵的理论,在一定假设条件下,证明了这类耦合代数Riccati方程存在最小非负解.最后通过数值算例,验证了所得结果的有效性.
The Solution of a Class of Coupled Algebraic Riccati Equations
The coupled algebraic Riccati equations have extensive applications in control theory.In this paper,the solution of a class of coupled algebraic Riccati equations is studied.Based on the theory of M-matrix and non-negative matrix,it is proved that the minimal non-negative solution exists for this kind of coupled algebraic Ric-cati equation under certain assumptions.Finally,numerical examples are given to verify the validity of the results.

coupled algebraic Riccati equationminimal non-negative solutionfixed point iteration method

张宇、关晋瑞、宋儒瑛

展开 >

太原师范学院 数学与统计学院,山西 晋中 030619

耦合代数Riccati方程 最小非负解 不动点迭代法

国家自然科学基金山西省科技创新人才团队专项

12001395202204051002018

2024

宜春学院学报
宜春学院

宜春学院学报

影响因子:0.271
ISSN:1671-380X
年,卷(期):2024.46(3)
  • 24