Novel solution bounds for the continuous and discrete algebraic Riccati equations in Hilbert space

被引：0

作者：

Zaouia, Saliha ^{[1
]}

Kada, Maissa ^{[1
]}

Mennouni, Abdelaziz ^{[1
]}

机构：

[1] Univ Batna 2, Dept Math, LTM, Fesdis 05078, Batna, Algeria

来源：

FILOMAT | 2024年 / 38卷 / 12期

关键词：

Riccati equation; continuous systems; discrete-time systems; bounded operator; MATRIX BOUNDS; SYSTEMS;

D O I：

10.2298/FIL2412209Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we define new solution bounds for the infinite-dimensional algebraic Riccati equation. We first suggest an upper bound solution in the continuous case. After that, we develop upper and lower bounds for the algebraic Riccati equation solution in discrete time. We provide a robust control application.

引用

页码：4209 / 4223

页数：15

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