Singh, VimalDepartment of Mechatronics Engineering2024-07-052024-07-0520121051-200410.1016/j.dsp.2012.01.0012-s2.0-84858703823https://doi.org/10.1016/j.dsp.2012.01.001https://hdl.handle.net/20.500.14411/1400An LMI-based criterion for the global asymptotic stability of 2-D state-space digital filters described by the Roesser model employing two'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'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. (C) 2012 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessAsymptotic stabilityFinite word length effectDigital filterLyapunov methodMultidimensional systemArticle