Comments on "An Inversion-Free Iterative Algorithm for Riccati Matrix Equations in Discrete-Time Markov Jump Systems"

被引：0
|
作者：
Liu, Jianzhou [1 ,2 ]
Tang, Fuying [1 ,2 ]
Xu, Yan [1 ,2 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Minist Educ, Xiangtan 411105, Peoples R China
[2] Xiangtan Univ, Key Lab Intelligent Comp Informat Proc, Minist Educ, Xiangtan 411105, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Discrete coupled Riccati matrix equations; inversion-free iteration; BOUNDS;
D O I：
10.1109/TAC.2024.3417069
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Discrete coupled Riccati matrix equations, which play an important role in the analysis and design of discrete-time Markov jump systems of control theory, have been studied extensively. In Li et al. (2022), an iterative algorithm for positive definite solutions of these matrix equations was presented. This article gives numerical examples to point out that the convergence proof of the iterative algorithm proposed in the above paper cites an incorrect conclusion, resulting in errors in the convergence proof of the iterative algorithm as well as the entire algorithm.
引用
收藏
页码：8136 / 8138
页数：3
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