The paper considers first, the admissibility conditions for continuous 2 D systems represented by Roesser model by dealing with non-strict LMIs. Secondly, admissibility and stabilization conditions using strict LMIs conditions are investigated. For these strict LMIs conditions, necessary and sufficient conditions can be directly solved with LMI toolbox since they are more traceable and reliable in numerical simulation than non-strict conditions presented in the first part of the paper, that are extracted basing on existed results. Finally, a real plant model of a transmission line is used to validate the proposed theoretical results.

中文翻译：

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Roesser 模型描述的奇异连续二维系统的可接受性和稳定性

本文首先通过处理非严格LMI来考虑以Roesser模型为代表的连续二维系统的可接受条件。其次，研究了使用严格 LMI 条件的可接受性和稳定条件。对于这些严格的 LMI 条件，充分必要条件可以直接用 LMI 工具箱求解，因为它们在数值模拟中比本文第一部分提出的非严格条件更具可追溯性和可靠性，这些条件是根据现有结果提取的。最后，传输线的真实设备模型用于验证所提出的理论结果。