Stabilization of bilinear systems with distributed delays using the Banach state space decomposition method

被引：1

作者：

Cheddour, Ayoub ^{[1
]}

Elazzouzi, Abdelhai ^{[1
]}

Rihan, Fathalla A. ^{[2
]}

机构：

[1] Univ SidiMohamed Ben Abdellah, Polydisciplinary Fac Taza, Dept Math, Engn Sci Lab, Fes, Morocco

[2] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2024年 / 41卷 / 04期

关键词：

distributed delay; strong stabilization; weak stabilization; feedback control; Banach state space; decay estimate; bilinear systems; DECAY ESTIMATE;

D O I：

10.1093/imamci/dnae027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The strong stabilization of the considered system is established by presenting sufficient conditions based on an observability condition expressed by the semigroup solution of the linear part of the bilinear system. An explicit estimate on the convergence of the decay rate is established. Moreover, some sufficient conditions are used to discuss the weak stabilization of the considered system. Additionally, an illustrative example with numerical simulations is included.

引用

页码：611 / 633

页数：23

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