New Tests for the Stability of 2-D Roesser Models

• 成果类型: Article
• 署名作者: Bachelier, Olivier; Cluzeau, Thomas; Mehdi, Driss; Yeganefar, Nima
• 署名单位: Universite de Poitiers; Universite de Limoges; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2981344
• 发表日期: 2021
• 页码: 406-412
• 关键词: Two dimensional displays; Structural engineering; Linear matrix inequalities; Stability criteria; Eigenvalues and eigenfunctions; Numerical stability; linear matrix inequalities (LMI); Roesser models; STABILITY; 2-D models

摘要

This article aims at broadening the panel of the existing conditions for structural stability of 2-D Roesser models. The models can be discrete, continuous, or mixed discrete/continuous. The conditions are necessary and sufficient. They are either expressed in terms of linear matrix inequalities or based on direct tests on eigenvalues of constant matrices. The effectiveness of these tests is highlighted.