On the Connections Between Various Stability Notions for Linear 2-D Discrete Models

• 成果类型: Article
• 署名作者: Bachelier, Olivier; Cluzeau, Thomas; Rigaud, Alexandre; Alvarez, Francisco Jose Silva; Yeganefar, Nader; Yeganefar, Nima
• 署名单位: Ecole Nationale Superieure de Mecanique et d'Aerotechnique (ISAE-ENSMA); Universite de Poitiers; Universite de Limoges; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3259976
• 发表日期: 2023
• 页码: 7919-7926
• 关键词: 2-D discrete models; asymptotic stability (AS); exponential stability (ES); Linear systems; structural stability (SS)

摘要

In this article, we review different stability definitions that have been used in the literature concerning 2-D Roesser or Fornasini-Marchesini models: structural stability, asymptotic stability, and two different notions of exponential stability. We clarify the relations between all these definitions for the linear case: the two notions of exponential stability and structural stability are all equivalent and they imply asymptotic stability.