On the admissibility and robust stabilization of 2D singular continuous-discrete linear systems

被引：1

作者：

Benamar, Mohammed Nadjib ^{[1
]}

Ghezzar, Mohammed Amine ^{[2
]}

Bouagada, Djillali ^{[1
]}

Benyettou, Kamel ^{[1
]}

机构：

[1] Abdelhamid Ibn Badis Univ Mostaganem, Dept Math & Comp Sci, Lab Pure & Appl Math, ACSY Team, POB 227-118, Mostaganem 27000, Algeria

[2] Natl Higher Sch Math, Lab Pure & Appl Math, ACSY Team, POB 75, Algiers 16093, Algeria

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 06期

关键词：

2D singular Roesser model; Admissibility; Stabilization; Linear matrix inequalities; STABILITY ANALYSIS; DESIGN; TESTS; LEMMA;

D O I：

10.1007/s40435-023-01300-8

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 effectiveness of this paper lies in the investigation of admissibility in 2D singular continuous-discrete time linear systems described by the Roesser model. Its objective is to examine if, how and when the conditions of admissibility and robust admissibility are satisfied. To achieve this study, sufficient conditions were defined and used to measure the admissibility and the robust admissibility of this class of systems. Moreover, we have derived sufficient conditions for the existence of a state feedback controller that guarantees that closed-loop systems are admissible and robustly admissible. Finally, some numerical examples which discuss the Darboux equation, spatially interconnected systems (ladder circuits) and an academic example are provided to demonstrate the accuracy and applicability of the proposed results.

引用

页码：1728 / 1742

页数：15

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