New tests for the stability of 3D Roesser models

被引：2
|
作者：
Bachelier, Olivier [1 ]
Cluzeau, Thomas [2 ]
Mehdi, Driss [1 ]
Rigaud, Alexandre [1 ]
Yeganefar, Nima [1 ]
机构：
[1] Univ Poitiers, LIAS ENSIP, Batiment B25, 2 Rue Pierre Brousse, TSA 41105, 411, F-86073 Poitiers 9, France
[2] Univ Limoges, CNRS, XLIM, UMR 7252, F-87000 Limoges, France
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2023年 / 35卷 / 03期
关键词：
3D models; ND models; Stability; Roesser models; LMI; DISCRETE-TIME SYSTEMS; SUFFICIENT CONDITIONS; PERFORMANCE ANALYSIS; LYAPUNOV EQUATION; LMI CONDITIONS; H-INFINITY; STABILIZATION;
D O I：
10.1007/s00498-023-00352-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article provides new conditions for testing the structural stability of 3D Roesser models. The models can be discrete, continuous, or mixed discrete/continuous. The conditions consist in a few tests on the eigenvalues of matrices and one test on an auxiliary 2D model. The latter test is based upon a hierarchy of linear matrix inequalities relaxations. The global test for structural stability is necessary and sufficient for a large enough value of the hierarchy level.
引用
收藏
页码：619 / 639
页数：21
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