Improved LMI-based criterion for global asymptotic stability of 2-D state-space digital filters described by Roesser model using two始s complement arithmetic

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• 作者：Vimal Singh ; ^{vsingh11@rediffmail.com} ; ^{vimal_singh@atilim.edu.tr}&#xA0 ; [Author Vitae]
• 关键词：Asymptotic stability ; Finite word length effect ; Digital filter ; Lyapunov method ; Multidimensional system
• 刊名：Digital Signal Processing
• 出版年：2012
• 期刊代码：128_10512004
• 类别：cp
• 出版时间：May, 2012
• 卷：22
• 期：3
• 页码：471-475
• 文件大小：146 K

摘要

An LMI-based criterion for the global asymptotic stability of 2-D state-space digital filters described by the Roesser model employing two始s complement overflow arithmetic is presented. Under a certain assumption, the criterion turns out to be an improvement over a criterion due to El-Agizi and Fahmy pertaining to two始s complement arithmetic and has a form similar to a criterion due to Xiao and Hill pertaining to saturation arithmetic. Examples show the effectiveness of the new criterion.